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Finding the Fourth Proportional to 567.12, 781.68 and 370.20

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Solution

The fourth proportional to 567.12, 781.68 and 370.20 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.12 : 781.68 = 370.20 : x
  2. Step 2: Convert to fraction form
    567.12/781.68 = 370.20/x
  3. Step 3: Cross multiply
    567.12x = 781.68 × 370.20
  4. Step 4: Simplify right side
    567.12x = 289,377.94
  5. Step 5: Solve for x
    x = 289,377.94/567.12
  6. Step 6: Final answer
    x = 510.26

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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.