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Finding the Fourth Proportional to 521.74, 782.20 and 247.69

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Solution

The fourth proportional to 521.74, 782.20 and 247.69 is: 371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 782.20 = 247.69 : x
  2. Step 2: Convert to fraction form
    521.74/782.20 = 247.69/x
  3. Step 3: Cross multiply
    521.74x = 782.20 × 247.69
  4. Step 4: Simplify right side
    521.74x = 193,743.12
  5. Step 5: Solve for x
    x = 193,743.12/521.74
  6. Step 6: Final answer
    x = 371.34

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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.