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Finding the Fourth Proportional to 293.60, 441.01 and 224.89

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Solution

The fourth proportional to 293.60, 441.01 and 224.89 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 441.01 = 224.89 : x
  2. Step 2: Convert to fraction form
    293.60/441.01 = 224.89/x
  3. Step 3: Cross multiply
    293.60x = 441.01 × 224.89
  4. Step 4: Simplify right side
    293.60x = 99,177.92
  5. Step 5: Solve for x
    x = 99,177.92/293.60
  6. Step 6: Final answer
    x = 337.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.