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Finding the Fourth Proportional to 532.99, 799.33 and 224.78

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Solution

The fourth proportional to 532.99, 799.33 and 224.78 is: 337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.99 : 799.33 = 224.78 : x
  2. Step 2: Convert to fraction form
    532.99/799.33 = 224.78/x
  3. Step 3: Cross multiply
    532.99x = 799.33 × 224.78
  4. Step 4: Simplify right side
    532.99x = 179,673.40
  5. Step 5: Solve for x
    x = 179,673.40/532.99
  6. Step 6: Final answer
    x = 337.10

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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.