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Finding the Fourth Proportional to 532.74, 799.14 and 327.18

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Solution

The fourth proportional to 532.74, 799.14 and 327.18 is: 490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 799.14 = 327.18 : x
  2. Step 2: Convert to fraction form
    532.74/799.14 = 327.18/x
  3. Step 3: Cross multiply
    532.74x = 799.14 × 327.18
  4. Step 4: Simplify right side
    532.74x = 261,462.63
  5. Step 5: Solve for x
    x = 261,462.63/532.74
  6. Step 6: Final answer
    x = 490.79

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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.