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Finding the Fourth Proportional to 566.76, 782.19 and 345.72

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Solution

The fourth proportional to 566.76, 782.19 and 345.72 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 782.19 = 345.72 : x
  2. Step 2: Convert to fraction form
    566.76/782.19 = 345.72/x
  3. Step 3: Cross multiply
    566.76x = 782.19 × 345.72
  4. Step 4: Simplify right side
    566.76x = 270,418.73
  5. Step 5: Solve for x
    x = 270,418.73/566.76
  6. Step 6: Final answer
    x = 477.13

Related Problems

Find fourth proportional to 283.38, 391.10 and 172.86
Half scale
Find fourth proportional to 1,133.52, 1,564.38 and 691.44
Double scale
Find fourth proportional to 567.76, 783.57 and 346.72
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.