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Finding the Fourth Proportional to 532.47, 798.74 and 224.27

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Solution

The fourth proportional to 532.47, 798.74 and 224.27 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.47 : 798.74 = 224.27 : x
  2. Step 2: Convert to fraction form
    532.47/798.74 = 224.27/x
  3. Step 3: Cross multiply
    532.47x = 798.74 × 224.27
  4. Step 4: Simplify right side
    532.47x = 179,132.30
  5. Step 5: Solve for x
    x = 179,132.30/532.47
  6. Step 6: Final answer
    x = 336.42

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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.