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Finding the Fourth Proportional to 387.67, 581.42 and 323.09

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Solution

The fourth proportional to 387.67, 581.42 and 323.09 is: 484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.67 : 581.42 = 323.09 : x
  2. Step 2: Convert to fraction form
    387.67/581.42 = 323.09/x
  3. Step 3: Cross multiply
    387.67x = 581.42 × 323.09
  4. Step 4: Simplify right side
    387.67x = 187,848.89
  5. Step 5: Solve for x
    x = 187,848.89/387.67
  6. Step 6: Final answer
    x = 484.56

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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.