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Finding the Fourth Proportional to 462.48, 694 and 173.92

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Solution

The fourth proportional to 462.48, 694 and 173.92 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.48 : 694 = 173.92 : x
  2. Step 2: Convert to fraction form
    462.48/694 = 173.92/x
  3. Step 3: Cross multiply
    462.48x = 694 × 173.92
  4. Step 4: Simplify right side
    462.48x = 120,700.48
  5. Step 5: Solve for x
    x = 120,700.48/462.48
  6. Step 6: Final answer
    x = 260.99

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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.