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Finding the Fourth Proportional to 387.27, 534.43 and 221.49

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Solution

The fourth proportional to 387.27, 534.43 and 221.49 is: 305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.27 : 534.43 = 221.49 : x
  2. Step 2: Convert to fraction form
    387.27/534.43 = 221.49/x
  3. Step 3: Cross multiply
    387.27x = 534.43 × 221.49
  4. Step 4: Simplify right side
    387.27x = 118,370.90
  5. Step 5: Solve for x
    x = 118,370.90/387.27
  6. Step 6: Final answer
    x = 305.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.