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Finding the Fourth Proportional to 532.94, 799.50 and 224.62

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Solution

The fourth proportional to 532.94, 799.50 and 224.62 is: 336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 799.50 = 224.62 : x
  2. Step 2: Convert to fraction form
    532.94/799.50 = 224.62/x
  3. Step 3: Cross multiply
    532.94x = 799.50 × 224.62
  4. Step 4: Simplify right side
    532.94x = 179,583.69
  5. Step 5: Solve for x
    x = 179,583.69/532.94
  6. Step 6: Final answer
    x = 336.97

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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.