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Finding the Fourth Proportional to 963.15, 1,444.80 and 269.87

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Solution

The fourth proportional to 963.15, 1,444.80 and 269.87 is: 404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.15 : 1,444.80 = 269.87 : x
  2. Step 2: Convert to fraction form
    963.15/1,444.80 = 269.87/x
  3. Step 3: Cross multiply
    963.15x = 1,444.80 × 269.87
  4. Step 4: Simplify right side
    963.15x = 389,910.96
  5. Step 5: Solve for x
    x = 389,910.96/963.15
  6. Step 6: Final answer
    x = 404.83

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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.