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Finding the Fourth Proportional to 404.12, 557.61 and 238.34

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Solution

The fourth proportional to 404.12, 557.61 and 238.34 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.12 : 557.61 = 238.34 : x
  2. Step 2: Convert to fraction form
    404.12/557.61 = 238.34/x
  3. Step 3: Cross multiply
    404.12x = 557.61 × 238.34
  4. Step 4: Simplify right side
    404.12x = 132,897.98
  5. Step 5: Solve for x
    x = 132,897.98/404.12
  6. Step 6: Final answer
    x = 328.86

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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.