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Finding the Fourth Proportional to 962.75, 1,444.37 and 278.75

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Solution

The fourth proportional to 962.75, 1,444.37 and 278.75 is: 418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.75 : 1,444.37 = 278.75 : x
  2. Step 2: Convert to fraction form
    962.75/1,444.37 = 278.75/x
  3. Step 3: Cross multiply
    962.75x = 1,444.37 × 278.75
  4. Step 4: Simplify right side
    962.75x = 402,618.14
  5. Step 5: Solve for x
    x = 402,618.14/962.75
  6. Step 6: Final answer
    x = 418.20

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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.