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Finding the Fourth Proportional to 521.32, 781.56 and 301.42

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Solution

The fourth proportional to 521.32, 781.56 and 301.42 is: 451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.32 : 781.56 = 301.42 : x
  2. Step 2: Convert to fraction form
    521.32/781.56 = 301.42/x
  3. Step 3: Cross multiply
    521.32x = 781.56 × 301.42
  4. Step 4: Simplify right side
    521.32x = 235,577.82
  5. Step 5: Solve for x
    x = 235,577.82/521.32
  6. Step 6: Final answer
    x = 451.89

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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.