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Finding the Fourth Proportional to 324.18, 483.62 and 308.78

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Solution

The fourth proportional to 324.18, 483.62 and 308.78 is: 460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.18 : 483.62 = 308.78 : x
  2. Step 2: Convert to fraction form
    324.18/483.62 = 308.78/x
  3. Step 3: Cross multiply
    324.18x = 483.62 × 308.78
  4. Step 4: Simplify right side
    324.18x = 149,332.18
  5. Step 5: Solve for x
    x = 149,332.18/324.18
  6. Step 6: Final answer
    x = 460.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.