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Finding the Fourth Proportional to 532.48, 798.13 and 224.24

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Solution

The fourth proportional to 532.48, 798.13 and 224.24 is: 336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.48 : 798.13 = 224.24 : x
  2. Step 2: Convert to fraction form
    532.48/798.13 = 224.24/x
  3. Step 3: Cross multiply
    532.48x = 798.13 × 224.24
  4. Step 4: Simplify right side
    532.48x = 178,974.95
  5. Step 5: Solve for x
    x = 178,974.95/532.48
  6. Step 6: Final answer
    x = 336.12

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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.