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Finding the Fourth Proportional to 460.91, 691.59 and 229.83

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Solution

The fourth proportional to 460.91, 691.59 and 229.83 is: 344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 691.59 = 229.83 : x
  2. Step 2: Convert to fraction form
    460.91/691.59 = 229.83/x
  3. Step 3: Cross multiply
    460.91x = 691.59 × 229.83
  4. Step 4: Simplify right side
    460.91x = 158,949.24
  5. Step 5: Solve for x
    x = 158,949.24/460.91
  6. Step 6: Final answer
    x = 344.86

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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.