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Finding the Fourth Proportional to 446.26, 616.13 and 271.90

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Solution

The fourth proportional to 446.26, 616.13 and 271.90 is: 375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.26 : 616.13 = 271.90 : x
  2. Step 2: Convert to fraction form
    446.26/616.13 = 271.90/x
  3. Step 3: Cross multiply
    446.26x = 616.13 × 271.90
  4. Step 4: Simplify right side
    446.26x = 167,523.87
  5. Step 5: Solve for x
    x = 167,523.87/446.26
  6. Step 6: Final answer
    x = 375.40

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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.