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Finding the Fourth Proportional to 566.49, 781.52 and 391.53

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Solution

The fourth proportional to 566.49, 781.52 and 391.53 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 781.52 = 391.53 : x
  2. Step 2: Convert to fraction form
    566.49/781.52 = 391.53/x
  3. Step 3: Cross multiply
    566.49x = 781.52 × 391.53
  4. Step 4: Simplify right side
    566.49x = 305,986.57
  5. Step 5: Solve for x
    x = 305,986.57/566.49
  6. Step 6: Final answer
    x = 540.14

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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.