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Finding the Fourth Proportional to 324.82, 483.89 and 310.06

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Solution

The fourth proportional to 324.82, 483.89 and 310.06 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.82 : 483.89 = 310.06 : x
  2. Step 2: Convert to fraction form
    324.82/483.89 = 310.06/x
  3. Step 3: Cross multiply
    324.82x = 483.89 × 310.06
  4. Step 4: Simplify right side
    324.82x = 150,034.93
  5. Step 5: Solve for x
    x = 150,034.93/324.82
  6. Step 6: Final answer
    x = 461.90

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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.