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Finding the Fourth Proportional to 708.46, 1,062.16 and 269.69

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Solution

The fourth proportional to 708.46, 1,062.16 and 269.69 is: 404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.46 : 1,062.16 = 269.69 : x
  2. Step 2: Convert to fraction form
    708.46/1,062.16 = 269.69/x
  3. Step 3: Cross multiply
    708.46x = 1,062.16 × 269.69
  4. Step 4: Simplify right side
    708.46x = 286,447.95
  5. Step 5: Solve for x
    x = 286,447.95/708.46
  6. Step 6: Final answer
    x = 404.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.