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Finding the Fourth Proportional to 400.81, 602.24 and 323.92

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Solution

The fourth proportional to 400.81, 602.24 and 323.92 is: 486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.81 : 602.24 = 323.92 : x
  2. Step 2: Convert to fraction form
    400.81/602.24 = 323.92/x
  3. Step 3: Cross multiply
    400.81x = 602.24 × 323.92
  4. Step 4: Simplify right side
    400.81x = 195,077.58
  5. Step 5: Solve for x
    x = 195,077.58/400.81
  6. Step 6: Final answer
    x = 486.71

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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.