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Finding the Fourth Proportional to 460.92, 690.86 and 229.57

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Solution

The fourth proportional to 460.92, 690.86 and 229.57 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 690.86 = 229.57 : x
  2. Step 2: Convert to fraction form
    460.92/690.86 = 229.57/x
  3. Step 3: Cross multiply
    460.92x = 690.86 × 229.57
  4. Step 4: Simplify right side
    460.92x = 158,600.73
  5. Step 5: Solve for x
    x = 158,600.73/460.92
  6. Step 6: Final answer
    x = 344.10

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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.