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Finding the Fourth Proportional to 566.12, 781.52 and 379.55

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Solution

The fourth proportional to 566.12, 781.52 and 379.55 is: 523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.12 : 781.52 = 379.55 : x
  2. Step 2: Convert to fraction form
    566.12/781.52 = 379.55/x
  3. Step 3: Cross multiply
    566.12x = 781.52 × 379.55
  4. Step 4: Simplify right side
    566.12x = 296,625.97
  5. Step 5: Solve for x
    x = 296,625.97/566.12
  6. Step 6: Final answer
    x = 523.96

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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.