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Finding the Fourth Proportional to 962.64, 1,443.69 and 269.26

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Solution

The fourth proportional to 962.64, 1,443.69 and 269.26 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.64 : 1,443.69 = 269.26 : x
  2. Step 2: Convert to fraction form
    962.64/1,443.69 = 269.26/x
  3. Step 3: Cross multiply
    962.64x = 1,443.69 × 269.26
  4. Step 4: Simplify right side
    962.64x = 388,727.97
  5. Step 5: Solve for x
    x = 388,727.97/962.64
  6. Step 6: Final answer
    x = 403.82

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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.