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Finding the Fourth Proportional to 324.09, 483.68 and 310.86

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Solution

The fourth proportional to 324.09, 483.68 and 310.86 is: 463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 483.68 = 310.86 : x
  2. Step 2: Convert to fraction form
    324.09/483.68 = 310.86/x
  3. Step 3: Cross multiply
    324.09x = 483.68 × 310.86
  4. Step 4: Simplify right side
    324.09x = 150,357.54
  5. Step 5: Solve for x
    x = 150,357.54/324.09
  6. Step 6: Final answer
    x = 463.94

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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.