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Finding the Fourth Proportional to 521.52, 782.13 and 247.54

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Solution

The fourth proportional to 521.52, 782.13 and 247.54 is: 371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.52 : 782.13 = 247.54 : x
  2. Step 2: Convert to fraction form
    521.52/782.13 = 247.54/x
  3. Step 3: Cross multiply
    521.52x = 782.13 × 247.54
  4. Step 4: Simplify right side
    521.52x = 193,608.46
  5. Step 5: Solve for x
    x = 193,608.46/521.52
  6. Step 6: Final answer
    x = 371.24

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Why These Related Problems?

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