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Finding the Fourth Proportional to 324.16, 486.13 and 247.62

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Solution

The fourth proportional to 324.16, 486.13 and 247.62 is: 371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 486.13 = 247.62 : x
  2. Step 2: Convert to fraction form
    324.16/486.13 = 247.62/x
  3. Step 3: Cross multiply
    324.16x = 486.13 × 247.62
  4. Step 4: Simplify right side
    324.16x = 120,375.51
  5. Step 5: Solve for x
    x = 120,375.51/324.16
  6. Step 6: Final answer
    x = 371.35

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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.