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Finding the Fourth Proportional to 532.98, 799.27 and 324.71

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Solution

The fourth proportional to 532.98, 799.27 and 324.71 is: 486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 799.27 = 324.71 : x
  2. Step 2: Convert to fraction form
    532.98/799.27 = 324.71/x
  3. Step 3: Cross multiply
    532.98x = 799.27 × 324.71
  4. Step 4: Simplify right side
    532.98x = 259,529.15
  5. Step 5: Solve for x
    x = 259,529.15/532.98
  6. Step 6: Final answer
    x = 486.94

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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.