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Finding the Fourth Proportional to 589.86, 884.92 and 224.65

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Solution

The fourth proportional to 589.86, 884.92 and 224.65 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.86 : 884.92 = 224.65 : x
  2. Step 2: Convert to fraction form
    589.86/884.92 = 224.65/x
  3. Step 3: Cross multiply
    589.86x = 884.92 × 224.65
  4. Step 4: Simplify right side
    589.86x = 198,795.12
  5. Step 5: Solve for x
    x = 198,795.12/589.86
  6. Step 6: Final answer
    x = 337.02

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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.