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Finding the Fourth Proportional to 324.83, 487.39 and 119.35

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Solution

The fourth proportional to 324.83, 487.39 and 119.35 is: 179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.83 : 487.39 = 119.35 : x
  2. Step 2: Convert to fraction form
    324.83/487.39 = 119.35/x
  3. Step 3: Cross multiply
    324.83x = 487.39 × 119.35
  4. Step 4: Simplify right side
    324.83x = 58,168.74
  5. Step 5: Solve for x
    x = 58,168.74/324.83
  6. Step 6: Final answer
    x = 179.07

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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.