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Finding the Fourth Proportional to 589.78, 884.91 and 224.67

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Solution

The fourth proportional to 589.78, 884.91 and 224.67 is: 337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 884.91 = 224.67 : x
  2. Step 2: Convert to fraction form
    589.78/884.91 = 224.67/x
  3. Step 3: Cross multiply
    589.78x = 884.91 × 224.67
  4. Step 4: Simplify right side
    589.78x = 198,812.73
  5. Step 5: Solve for x
    x = 198,812.73/589.78
  6. Step 6: Final answer
    x = 337.10

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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.