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Finding the Fourth Proportional to 460.89, 691.34 and 229.57

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Solution

The fourth proportional to 460.89, 691.34 and 229.57 is: 344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 691.34 = 229.57 : x
  2. Step 2: Convert to fraction form
    460.89/691.34 = 229.57/x
  3. Step 3: Cross multiply
    460.89x = 691.34 × 229.57
  4. Step 4: Simplify right side
    460.89x = 158,708.05
  5. Step 5: Solve for x
    x = 158,708.05/460.89
  6. Step 6: Final answer
    x = 344.35

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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.