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Finding the Fourth Proportional to 521.67, 782.10 and 261.66

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Solution

The fourth proportional to 521.67, 782.10 and 261.66 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 782.10 = 261.66 : x
  2. Step 2: Convert to fraction form
    521.67/782.10 = 261.66/x
  3. Step 3: Cross multiply
    521.67x = 782.10 × 261.66
  4. Step 4: Simplify right side
    521.67x = 204,644.29
  5. Step 5: Solve for x
    x = 204,644.29/521.67
  6. Step 6: Final answer
    x = 392.29

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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.