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Finding the Fourth Proportional to 404.06, 557.62 and 229.42

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Solution

The fourth proportional to 404.06, 557.62 and 229.42 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 557.62 = 229.42 : x
  2. Step 2: Convert to fraction form
    404.06/557.62 = 229.42/x
  3. Step 3: Cross multiply
    404.06x = 557.62 × 229.42
  4. Step 4: Simplify right side
    404.06x = 127,929.18
  5. Step 5: Solve for x
    x = 127,929.18/404.06
  6. Step 6: Final answer
    x = 316.61

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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.