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Finding the Fourth Proportional to 403.92, 557.42 and 224.47

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Solution

The fourth proportional to 403.92, 557.42 and 224.47 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.92 : 557.42 = 224.47 : x
  2. Step 2: Convert to fraction form
    403.92/557.42 = 224.47/x
  3. Step 3: Cross multiply
    403.92x = 557.42 × 224.47
  4. Step 4: Simplify right side
    403.92x = 125,123.24
  5. Step 5: Solve for x
    x = 125,123.24/403.92
  6. Step 6: Final answer
    x = 309.77

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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.