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Finding the Fourth Proportional to 462.24, 693.40 and 173.68

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Solution

The fourth proportional to 462.24, 693.40 and 173.68 is: 260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 693.40 = 173.68 : x
  2. Step 2: Convert to fraction form
    462.24/693.40 = 173.68/x
  3. Step 3: Cross multiply
    462.24x = 693.40 × 173.68
  4. Step 4: Simplify right side
    462.24x = 120,429.71
  5. Step 5: Solve for x
    x = 120,429.71/462.24
  6. Step 6: Final answer
    x = 260.54

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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.