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Finding the Fourth Proportional to 324.64, 487.01 and 129.64

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Solution

The fourth proportional to 324.64, 487.01 and 129.64 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 487.01 = 129.64 : x
  2. Step 2: Convert to fraction form
    324.64/487.01 = 129.64/x
  3. Step 3: Cross multiply
    324.64x = 487.01 × 129.64
  4. Step 4: Simplify right side
    324.64x = 63,133.66
  5. Step 5: Solve for x
    x = 63,133.66/324.64
  6. Step 6: Final answer
    x = 194.48

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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.