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Finding the Fourth Proportional to 324.73, 448.14 and 214.30

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Solution

The fourth proportional to 324.73, 448.14 and 214.30 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.73 : 448.14 = 214.30 : x
  2. Step 2: Convert to fraction form
    324.73/448.14 = 214.30/x
  3. Step 3: Cross multiply
    324.73x = 448.14 × 214.30
  4. Step 4: Simplify right side
    324.73x = 96,036.40
  5. Step 5: Solve for x
    x = 96,036.40/324.73
  6. Step 6: Final answer
    x = 295.74

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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.