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Finding the Fourth Proportional to 566.10, 781.02 and 455.16

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Solution

The fourth proportional to 566.10, 781.02 and 455.16 is: 627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 781.02 = 455.16 : x
  2. Step 2: Convert to fraction form
    566.10/781.02 = 455.16/x
  3. Step 3: Cross multiply
    566.10x = 781.02 × 455.16
  4. Step 4: Simplify right side
    566.10x = 355,489.06
  5. Step 5: Solve for x
    x = 355,489.06/566.10
  6. Step 6: Final answer
    x = 627.96

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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.