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Finding the Fourth Proportional to 532.91, 799.21 and 224.76

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Solution

The fourth proportional to 532.91, 799.21 and 224.76 is: 337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.91 : 799.21 = 224.76 : x
  2. Step 2: Convert to fraction form
    532.91/799.21 = 224.76/x
  3. Step 3: Cross multiply
    532.91x = 799.21 × 224.76
  4. Step 4: Simplify right side
    532.91x = 179,630.44
  5. Step 5: Solve for x
    x = 179,630.44/532.91
  6. Step 6: Final answer
    x = 337.07

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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.