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Finding the Fourth Proportional to 324.70, 448.01 and 214.18

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Solution

The fourth proportional to 324.70, 448.01 and 214.18 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 448.01 = 214.18 : x
  2. Step 2: Convert to fraction form
    324.70/448.01 = 214.18/x
  3. Step 3: Cross multiply
    324.70x = 448.01 × 214.18
  4. Step 4: Simplify right side
    324.70x = 95,954.78
  5. Step 5: Solve for x
    x = 95,954.78/324.70
  6. Step 6: Final answer
    x = 295.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.