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Finding the Fourth Proportional to 324.81, 448.28 and 214.52

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Solution

The fourth proportional to 324.81, 448.28 and 214.52 is: 296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 448.28 = 214.52 : x
  2. Step 2: Convert to fraction form
    324.81/448.28 = 214.52/x
  3. Step 3: Cross multiply
    324.81x = 448.28 × 214.52
  4. Step 4: Simplify right side
    324.81x = 96,165.03
  5. Step 5: Solve for x
    x = 96,165.03/324.81
  6. Step 6: Final answer
    x = 296.07

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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.