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Finding the Fourth Proportional to 634.27, 875.98 and 565.57

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Solution

The fourth proportional to 634.27, 875.98 and 565.57 is: 781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.27 : 875.98 = 565.57 : x
  2. Step 2: Convert to fraction form
    634.27/875.98 = 565.57/x
  3. Step 3: Cross multiply
    634.27x = 875.98 × 565.57
  4. Step 4: Simplify right side
    634.27x = 495,428.01
  5. Step 5: Solve for x
    x = 495,428.01/634.27
  6. Step 6: Final answer
    x = 781.10

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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.