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Finding the Fourth Proportional to 567.04, 780.72 and 515.14

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Solution

The fourth proportional to 567.04, 780.72 and 515.14 is: 709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.04 : 780.72 = 515.14 : x
  2. Step 2: Convert to fraction form
    567.04/780.72 = 515.14/x
  3. Step 3: Cross multiply
    567.04x = 780.72 × 515.14
  4. Step 4: Simplify right side
    567.04x = 402,178.13
  5. Step 5: Solve for x
    x = 402,178.13/567.04
  6. Step 6: Final answer
    x = 709.26

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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.