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Finding the Fourth Proportional to 462.48, 693 and 173.76

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Solution

The fourth proportional to 462.48, 693 and 173.76 is: 260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.48 : 693 = 173.76 : x
  2. Step 2: Convert to fraction form
    462.48/693 = 173.76/x
  3. Step 3: Cross multiply
    462.48x = 693 × 173.76
  4. Step 4: Simplify right side
    462.48x = 120,415.68
  5. Step 5: Solve for x
    x = 120,415.68/462.48
  6. Step 6: Final answer
    x = 260.37

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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.