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Finding the Fourth Proportional to 963.25, 1,444.93 and 269.90

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Solution

The fourth proportional to 963.25, 1,444.93 and 269.90 is: 404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.25 : 1,444.93 = 269.90 : x
  2. Step 2: Convert to fraction form
    963.25/1,444.93 = 269.90/x
  3. Step 3: Cross multiply
    963.25x = 1,444.93 × 269.90
  4. Step 4: Simplify right side
    963.25x = 389,978.71
  5. Step 5: Solve for x
    x = 389,978.71/963.25
  6. Step 6: Final answer
    x = 404.86

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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.