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Finding the Fourth Proportional to 446.67, 616.40 and 269.64

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Solution

The fourth proportional to 446.67, 616.40 and 269.64 is: 372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.67 : 616.40 = 269.64 : x
  2. Step 2: Convert to fraction form
    446.67/616.40 = 269.64/x
  3. Step 3: Cross multiply
    446.67x = 616.40 × 269.64
  4. Step 4: Simplify right side
    446.67x = 166,206.10
  5. Step 5: Solve for x
    x = 166,206.10/446.67
  6. Step 6: Final answer
    x = 372.10

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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.