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Finding the Fourth Proportional to 521.57, 782.40 and 247.59

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Solution

The fourth proportional to 521.57, 782.40 and 247.59 is: 371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.57 : 782.40 = 247.59 : x
  2. Step 2: Convert to fraction form
    521.57/782.40 = 247.59/x
  3. Step 3: Cross multiply
    521.57x = 782.40 × 247.59
  4. Step 4: Simplify right side
    521.57x = 193,714.42
  5. Step 5: Solve for x
    x = 193,714.42/521.57
  6. Step 6: Final answer
    x = 371.41

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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.