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Finding the Fourth Proportional to 446.62, 616.33 and 250.13

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Solution

The fourth proportional to 446.62, 616.33 and 250.13 is: 345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.62 : 616.33 = 250.13 : x
  2. Step 2: Convert to fraction form
    446.62/616.33 = 250.13/x
  3. Step 3: Cross multiply
    446.62x = 616.33 × 250.13
  4. Step 4: Simplify right side
    446.62x = 154,162.62
  5. Step 5: Solve for x
    x = 154,162.62/446.62
  6. Step 6: Final answer
    x = 345.18

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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.