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Finding the Fourth Proportional to 460.58, 691.24 and 229.46

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Solution

The fourth proportional to 460.58, 691.24 and 229.46 is: 344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 691.24 = 229.46 : x
  2. Step 2: Convert to fraction form
    460.58/691.24 = 229.46/x
  3. Step 3: Cross multiply
    460.58x = 691.24 × 229.46
  4. Step 4: Simplify right side
    460.58x = 158,611.93
  5. Step 5: Solve for x
    x = 158,611.93/460.58
  6. Step 6: Final answer
    x = 344.37

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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.