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Finding the Fourth Proportional to 462, 693.12 and 173.52

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Solution

The fourth proportional to 462, 693.12 and 173.52 is: 260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 693.12 = 173.52 : x
  2. Step 2: Convert to fraction form
    462/693.12 = 173.52/x
  3. Step 3: Cross multiply
    462x = 693.12 × 173.52
  4. Step 4: Simplify right side
    462x = 120,270.18
  5. Step 5: Solve for x
    x = 120,270.18/462
  6. Step 6: Final answer
    x = 260.33

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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.