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Finding the Fourth Proportional to 962.71, 1,444.14 and 269.37

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Solution

The fourth proportional to 962.71, 1,444.14 and 269.37 is: 404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.71 : 1,444.14 = 269.37 : x
  2. Step 2: Convert to fraction form
    962.71/1,444.14 = 269.37/x
  3. Step 3: Cross multiply
    962.71x = 1,444.14 × 269.37
  4. Step 4: Simplify right side
    962.71x = 389,007.99
  5. Step 5: Solve for x
    x = 389,007.99/962.71
  6. Step 6: Final answer
    x = 404.08

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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.