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Finding the Fourth Proportional to 610.76, 842.82 and 345.18

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Solution

The fourth proportional to 610.76, 842.82 and 345.18 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 842.82 = 345.18 : x
  2. Step 2: Convert to fraction form
    610.76/842.82 = 345.18/x
  3. Step 3: Cross multiply
    610.76x = 842.82 × 345.18
  4. Step 4: Simplify right side
    610.76x = 290,924.61
  5. Step 5: Solve for x
    x = 290,924.61/610.76
  6. Step 6: Final answer
    x = 476.33

Related Problems

Find fourth proportional to 305.38, 421.41 and 172.59
Half scale
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Double scale
Find fourth proportional to 611.76, 844.20 and 346.18
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.