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Finding the Fourth Proportional to 521.60, 781.71 and 466.43

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Solution

The fourth proportional to 521.60, 781.71 and 466.43 is: 699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.60 : 781.71 = 466.43 : x
  2. Step 2: Convert to fraction form
    521.60/781.71 = 466.43/x
  3. Step 3: Cross multiply
    521.60x = 781.71 × 466.43
  4. Step 4: Simplify right side
    521.60x = 364,609.09
  5. Step 5: Solve for x
    x = 364,609.09/521.60
  6. Step 6: Final answer
    x = 699.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.