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Finding the Fourth Proportional to 404.14, 557.70 and 229.49

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Solution

The fourth proportional to 404.14, 557.70 and 229.49 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 557.70 = 229.49 : x
  2. Step 2: Convert to fraction form
    404.14/557.70 = 229.49/x
  3. Step 3: Cross multiply
    404.14x = 557.70 × 229.49
  4. Step 4: Simplify right side
    404.14x = 127,983.78
  5. Step 5: Solve for x
    x = 127,983.78/404.14
  6. Step 6: Final answer
    x = 316.68

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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.