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Finding the Fourth Proportional to 324.57, 487.31 and 202.47

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Solution

The fourth proportional to 324.57, 487.31 and 202.47 is: 303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.57 : 487.31 = 202.47 : x
  2. Step 2: Convert to fraction form
    324.57/487.31 = 202.47/x
  3. Step 3: Cross multiply
    324.57x = 487.31 × 202.47
  4. Step 4: Simplify right side
    324.57x = 98,664.64
  5. Step 5: Solve for x
    x = 98,664.64/324.57
  6. Step 6: Final answer
    x = 303.99

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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.