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Finding the Fourth Proportional to 324.70, 447.74 and 214.03

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Solution

The fourth proportional to 324.70, 447.74 and 214.03 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 447.74 = 214.03 : x
  2. Step 2: Convert to fraction form
    324.70/447.74 = 214.03/x
  3. Step 3: Cross multiply
    324.70x = 447.74 × 214.03
  4. Step 4: Simplify right side
    324.70x = 95,831.29
  5. Step 5: Solve for x
    x = 95,831.29/324.70
  6. Step 6: Final answer
    x = 295.14

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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.