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Finding the Fourth Proportional to 532.65, 799.29 and 224.48

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Solution

The fourth proportional to 532.65, 799.29 and 224.48 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 799.29 = 224.48 : x
  2. Step 2: Convert to fraction form
    532.65/799.29 = 224.48/x
  3. Step 3: Cross multiply
    532.65x = 799.29 × 224.48
  4. Step 4: Simplify right side
    532.65x = 179,424.62
  5. Step 5: Solve for x
    x = 179,424.62/532.65
  6. Step 6: Final answer
    x = 336.85

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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.