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Finding the Fourth Proportional to 590.29, 884.72 and 224.78

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Solution

The fourth proportional to 590.29, 884.72 and 224.78 is: 336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 884.72 = 224.78 : x
  2. Step 2: Convert to fraction form
    590.29/884.72 = 224.78/x
  3. Step 3: Cross multiply
    590.29x = 884.72 × 224.78
  4. Step 4: Simplify right side
    590.29x = 198,863.50
  5. Step 5: Solve for x
    x = 198,863.50/590.29
  6. Step 6: Final answer
    x = 336.89

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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.