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Finding the Fourth Proportional to 324.43, 487.46 and 314.71

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Solution

The fourth proportional to 324.43, 487.46 and 314.71 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.43 : 487.46 = 314.71 : x
  2. Step 2: Convert to fraction form
    324.43/487.46 = 314.71/x
  3. Step 3: Cross multiply
    324.43x = 487.46 × 314.71
  4. Step 4: Simplify right side
    324.43x = 153,408.54
  5. Step 5: Solve for x
    x = 153,408.54/324.43
  6. Step 6: Final answer
    x = 472.86

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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.