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Finding the Fourth Proportional to 446.83, 616.55 and 269.74

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Solution

The fourth proportional to 446.83, 616.55 and 269.74 is: 372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.83 : 616.55 = 269.74 : x
  2. Step 2: Convert to fraction form
    446.83/616.55 = 269.74/x
  3. Step 3: Cross multiply
    446.83x = 616.55 × 269.74
  4. Step 4: Simplify right side
    446.83x = 166,306.85
  5. Step 5: Solve for x
    x = 166,306.85/446.83
  6. Step 6: Final answer
    x = 372.19

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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.