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Finding the Fourth Proportional to 962.81, 1,443.98 and 269.30

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Solution

The fourth proportional to 962.81, 1,443.98 and 269.30 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.81 : 1,443.98 = 269.30 : x
  2. Step 2: Convert to fraction form
    962.81/1,443.98 = 269.30/x
  3. Step 3: Cross multiply
    962.81x = 1,443.98 × 269.30
  4. Step 4: Simplify right side
    962.81x = 388,862.52
  5. Step 5: Solve for x
    x = 388,862.52/962.81
  6. Step 6: Final answer
    x = 403.88

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