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Finding the Fourth Proportional to 566.84, 782.32 and 345.84

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Solution

The fourth proportional to 566.84, 782.32 and 345.84 is: 477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.84 : 782.32 = 345.84 : x
  2. Step 2: Convert to fraction form
    566.84/782.32 = 345.84/x
  3. Step 3: Cross multiply
    566.84x = 782.32 × 345.84
  4. Step 4: Simplify right side
    566.84x = 270,557.55
  5. Step 5: Solve for x
    x = 270,557.55/566.84
  6. Step 6: Final answer
    x = 477.31

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Double scale
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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.