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Finding the Fourth Proportional to 460.80, 691.20 and 229.97

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Solution

The fourth proportional to 460.80, 691.20 and 229.97 is: 344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 691.20 = 229.97 : x
  2. Step 2: Convert to fraction form
    460.80/691.20 = 229.97/x
  3. Step 3: Cross multiply
    460.80x = 691.20 × 229.97
  4. Step 4: Simplify right side
    460.80x = 158,955.26
  5. Step 5: Solve for x
    x = 158,955.26/460.80
  6. Step 6: Final answer
    x = 344.96

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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.