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Finding the Fourth Proportional to 567.14, 781.85 and 478.98

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Solution

The fourth proportional to 567.14, 781.85 and 478.98 is: 660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 781.85 = 478.98 : x
  2. Step 2: Convert to fraction form
    567.14/781.85 = 478.98/x
  3. Step 3: Cross multiply
    567.14x = 781.85 × 478.98
  4. Step 4: Simplify right side
    567.14x = 374,491.71
  5. Step 5: Solve for x
    x = 374,491.71/567.14
  6. Step 6: Final answer
    x = 660.32

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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.