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Finding the Fourth Proportional to 324.71, 487.20 and 194.96

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Solution

The fourth proportional to 324.71, 487.20 and 194.96 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.71 : 487.20 = 194.96 : x
  2. Step 2: Convert to fraction form
    324.71/487.20 = 194.96/x
  3. Step 3: Cross multiply
    324.71x = 487.20 × 194.96
  4. Step 4: Simplify right side
    324.71x = 94,984.51
  5. Step 5: Solve for x
    x = 94,984.51/324.71
  6. Step 6: Final answer
    x = 292.52

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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.