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Finding the Fourth Proportional to 324.45, 487.13 and 214.79

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Solution

The fourth proportional to 324.45, 487.13 and 214.79 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 487.13 = 214.79 : x
  2. Step 2: Convert to fraction form
    324.45/487.13 = 214.79/x
  3. Step 3: Cross multiply
    324.45x = 487.13 × 214.79
  4. Step 4: Simplify right side
    324.45x = 104,627.14
  5. Step 5: Solve for x
    x = 104,627.14/324.45
  6. Step 6: Final answer
    x = 322.48

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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.