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Finding the Fourth Proportional to 404.25, 557.84 and 229.59

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Solution

The fourth proportional to 404.25, 557.84 and 229.59 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.25 : 557.84 = 229.59 : x
  2. Step 2: Convert to fraction form
    404.25/557.84 = 229.59/x
  3. Step 3: Cross multiply
    404.25x = 557.84 × 229.59
  4. Step 4: Simplify right side
    404.25x = 128,073.34
  5. Step 5: Solve for x
    x = 128,073.34/404.25
  6. Step 6: Final answer
    x = 316.82

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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.