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Finding the Fourth Proportional to 962.45, 1,443.69 and 269.24

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Solution

The fourth proportional to 962.45, 1,443.69 and 269.24 is: 403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.45 : 1,443.69 = 269.24 : x
  2. Step 2: Convert to fraction form
    962.45/1,443.69 = 269.24/x
  3. Step 3: Cross multiply
    962.45x = 1,443.69 × 269.24
  4. Step 4: Simplify right side
    962.45x = 388,699.10
  5. Step 5: Solve for x
    x = 388,699.10/962.45
  6. Step 6: Final answer
    x = 403.86

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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.