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Finding the Fourth Proportional to 590.38, 885.56 and 224.86

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Solution

The fourth proportional to 590.38, 885.56 and 224.86 is: 337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.38 : 885.56 = 224.86 : x
  2. Step 2: Convert to fraction form
    590.38/885.56 = 224.86/x
  3. Step 3: Cross multiply
    590.38x = 885.56 × 224.86
  4. Step 4: Simplify right side
    590.38x = 199,127.02
  5. Step 5: Solve for x
    x = 199,127.02/590.38
  6. Step 6: Final answer
    x = 337.29

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