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Finding the Fourth Proportional to 566.80, 781.24 and 391.76

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Solution

The fourth proportional to 566.80, 781.24 and 391.76 is: 539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 781.24 = 391.76 : x
  2. Step 2: Convert to fraction form
    566.80/781.24 = 391.76/x
  3. Step 3: Cross multiply
    566.80x = 781.24 × 391.76
  4. Step 4: Simplify right side
    566.80x = 306,058.58
  5. Step 5: Solve for x
    x = 306,058.58/566.80
  6. Step 6: Final answer
    x = 539.98

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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.