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Finding the Fourth Proportional to 462.88, 694.58 and 174.52

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Solution

The fourth proportional to 462.88, 694.58 and 174.52 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 694.58 = 174.52 : x
  2. Step 2: Convert to fraction form
    462.88/694.58 = 174.52/x
  3. Step 3: Cross multiply
    462.88x = 694.58 × 174.52
  4. Step 4: Simplify right side
    462.88x = 121,218.10
  5. Step 5: Solve for x
    x = 121,218.10/462.88
  6. Step 6: Final answer
    x = 261.88

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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.