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Finding the Fourth Proportional to 634.41, 876.15 and 565.71

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Solution

The fourth proportional to 634.41, 876.15 and 565.71 is: 781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.41 : 876.15 = 565.71 : x
  2. Step 2: Convert to fraction form
    634.41/876.15 = 565.71/x
  3. Step 3: Cross multiply
    634.41x = 876.15 × 565.71
  4. Step 4: Simplify right side
    634.41x = 495,646.82
  5. Step 5: Solve for x
    x = 495,646.82/634.41
  6. Step 6: Final answer
    x = 781.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.