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Finding the Fourth Proportional to 962.44, 1,444.08 and 414.48

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Solution

The fourth proportional to 962.44, 1,444.08 and 414.48 is: 621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.44 : 1,444.08 = 414.48 : x
  2. Step 2: Convert to fraction form
    962.44/1,444.08 = 414.48/x
  3. Step 3: Cross multiply
    962.44x = 1,444.08 × 414.48
  4. Step 4: Simplify right side
    962.44x = 598,542.28
  5. Step 5: Solve for x
    x = 598,542.28/962.44
  6. Step 6: Final answer
    x = 621.90

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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.