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Finding the Fourth Proportional to 521.10, 781.66 and 174.44

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Solution

The fourth proportional to 521.10, 781.66 and 174.44 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 781.66 = 174.44 : x
  2. Step 2: Convert to fraction form
    521.10/781.66 = 174.44/x
  3. Step 3: Cross multiply
    521.10x = 781.66 × 174.44
  4. Step 4: Simplify right side
    521.10x = 136,352.77
  5. Step 5: Solve for x
    x = 136,352.77/521.10
  6. Step 6: Final answer
    x = 261.66

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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.