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Finding the Fourth Proportional to 567.12, 781.89 and 380.31

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Solution

The fourth proportional to 567.12, 781.89 and 380.31 is: 524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.12 : 781.89 = 380.31 : x
  2. Step 2: Convert to fraction form
    567.12/781.89 = 380.31/x
  3. Step 3: Cross multiply
    567.12x = 781.89 × 380.31
  4. Step 4: Simplify right side
    567.12x = 297,360.59
  5. Step 5: Solve for x
    x = 297,360.59/567.12
  6. Step 6: Final answer
    x = 524.33

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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.