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Finding the Fourth Proportional to 532.67, 799.24 and 359.99

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Solution

The fourth proportional to 532.67, 799.24 and 359.99 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.67 : 799.24 = 359.99 : x
  2. Step 2: Convert to fraction form
    532.67/799.24 = 359.99/x
  3. Step 3: Cross multiply
    532.67x = 799.24 × 359.99
  4. Step 4: Simplify right side
    532.67x = 287,716.61
  5. Step 5: Solve for x
    x = 287,716.61/532.67
  6. Step 6: Final answer
    x = 540.14

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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.