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Finding the Fourth Proportional to 560.39, 772.71 and 508.55

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Solution

The fourth proportional to 560.39, 772.71 and 508.55 is: 701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.39 : 772.71 = 508.55 : x
  2. Step 2: Convert to fraction form
    560.39/772.71 = 508.55/x
  3. Step 3: Cross multiply
    560.39x = 772.71 × 508.55
  4. Step 4: Simplify right side
    560.39x = 392,961.67
  5. Step 5: Solve for x
    x = 392,961.67/560.39
  6. Step 6: Final answer
    x = 701.23

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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.