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Finding the Fourth Proportional to 324.93, 487.49 and 170.85

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Solution

The fourth proportional to 324.93, 487.49 and 170.85 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.93 : 487.49 = 170.85 : x
  2. Step 2: Convert to fraction form
    324.93/487.49 = 170.85/x
  3. Step 3: Cross multiply
    324.93x = 487.49 × 170.85
  4. Step 4: Simplify right side
    324.93x = 83,286.81
  5. Step 5: Solve for x
    x = 83,286.81/324.93
  6. Step 6: Final answer
    x = 256.32

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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.