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Finding the Fourth Proportional to 387.84, 581.22 and 225.57

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Solution

The fourth proportional to 387.84, 581.22 and 225.57 is: 338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.84 : 581.22 = 225.57 : x
  2. Step 2: Convert to fraction form
    387.84/581.22 = 225.57/x
  3. Step 3: Cross multiply
    387.84x = 581.22 × 225.57
  4. Step 4: Simplify right side
    387.84x = 131,105.80
  5. Step 5: Solve for x
    x = 131,105.80/387.84
  6. Step 6: Final answer
    x = 338.04

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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.