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Finding the Fourth Proportional to 590.32, 884.92 and 224.85

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Solution

The fourth proportional to 590.32, 884.92 and 224.85 is: 337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.32 : 884.92 = 224.85 : x
  2. Step 2: Convert to fraction form
    590.32/884.92 = 224.85/x
  3. Step 3: Cross multiply
    590.32x = 884.92 × 224.85
  4. Step 4: Simplify right side
    590.32x = 198,974.26
  5. Step 5: Solve for x
    x = 198,974.26/590.32
  6. Step 6: Final answer
    x = 337.06

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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.