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Finding the Fourth Proportional to 462.96, 693.48 and 231.12

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Solution

The fourth proportional to 462.96, 693.48 and 231.12 is: 346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 693.48 = 231.12 : x
  2. Step 2: Convert to fraction form
    462.96/693.48 = 231.12/x
  3. Step 3: Cross multiply
    462.96x = 693.48 × 231.12
  4. Step 4: Simplify right side
    462.96x = 160,277.10
  5. Step 5: Solve for x
    x = 160,277.10/462.96
  6. Step 6: Final answer
    x = 346.20

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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.