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Finding the Fourth Proportional to 404.38, 558.05 and 229.69

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Solution

The fourth proportional to 404.38, 558.05 and 229.69 is: 316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.38 : 558.05 = 229.69 : x
  2. Step 2: Convert to fraction form
    404.38/558.05 = 229.69/x
  3. Step 3: Cross multiply
    404.38x = 558.05 × 229.69
  4. Step 4: Simplify right side
    404.38x = 128,175.96
  5. Step 5: Solve for x
    x = 128,175.96/404.38
  6. Step 6: Final answer
    x = 316.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.