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Finding the Fourth Proportional to 532.57, 799.02 and 224.56

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Solution

The fourth proportional to 532.57, 799.02 and 224.56 is: 336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.57 : 799.02 = 224.56 : x
  2. Step 2: Convert to fraction form
    532.57/799.02 = 224.56/x
  3. Step 3: Cross multiply
    532.57x = 799.02 × 224.56
  4. Step 4: Simplify right side
    532.57x = 179,427.93
  5. Step 5: Solve for x
    x = 179,427.93/532.57
  6. Step 6: Final answer
    x = 336.91

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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.