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Finding the Fourth Proportional to 532.47, 799.80 and 496.02

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Solution

The fourth proportional to 532.47, 799.80 and 496.02 is: 745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.47 : 799.80 = 496.02 : x
  2. Step 2: Convert to fraction form
    532.47/799.80 = 496.02/x
  3. Step 3: Cross multiply
    532.47x = 799.80 × 496.02
  4. Step 4: Simplify right side
    532.47x = 396,716.80
  5. Step 5: Solve for x
    x = 396,716.80/532.47
  6. Step 6: Final answer
    x = 745.05

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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.