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Finding the Fourth Proportional to 324.55, 486.50 and 129.48

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Solution

The fourth proportional to 324.55, 486.50 and 129.48 is: 194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.55 : 486.50 = 129.48 : x
  2. Step 2: Convert to fraction form
    324.55/486.50 = 129.48/x
  3. Step 3: Cross multiply
    324.55x = 486.50 × 129.48
  4. Step 4: Simplify right side
    324.55x = 62,992.02
  5. Step 5: Solve for x
    x = 62,992.02/324.55
  6. Step 6: Final answer
    x = 194.09

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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.