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Finding the Fourth Proportional to 462.55, 693.69 and 173.92

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Solution

The fourth proportional to 462.55, 693.69 and 173.92 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.55 : 693.69 = 173.92 : x
  2. Step 2: Convert to fraction form
    462.55/693.69 = 173.92/x
  3. Step 3: Cross multiply
    462.55x = 693.69 × 173.92
  4. Step 4: Simplify right side
    462.55x = 120,646.56
  5. Step 5: Solve for x
    x = 120,646.56/462.55
  6. Step 6: Final answer
    x = 260.83

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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.