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Finding the Fourth Proportional to 324.90, 487.59 and 194.49

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Solution

The fourth proportional to 324.90, 487.59 and 194.49 is: 291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 487.59 = 194.49 : x
  2. Step 2: Convert to fraction form
    324.90/487.59 = 194.49/x
  3. Step 3: Cross multiply
    324.90x = 487.59 × 194.49
  4. Step 4: Simplify right side
    324.90x = 94,834.69
  5. Step 5: Solve for x
    x = 94,834.69/324.90
  6. Step 6: Final answer
    x = 291.89

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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.