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Finding the Fourth Proportional to 332.28, 498.56 and 229.76

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Solution

The fourth proportional to 332.28, 498.56 and 229.76 is: 344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.28 : 498.56 = 229.76 : x
  2. Step 2: Convert to fraction form
    332.28/498.56 = 229.76/x
  3. Step 3: Cross multiply
    332.28x = 498.56 × 229.76
  4. Step 4: Simplify right side
    332.28x = 114,549.15
  5. Step 5: Solve for x
    x = 114,549.15/332.28
  6. Step 6: Final answer
    x = 344.74

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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.