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Finding the Fourth Proportional to 642.44, 962.22 and 450.92

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Solution

The fourth proportional to 642.44, 962.22 and 450.92 is: 675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.44 : 962.22 = 450.92 : x
  2. Step 2: Convert to fraction form
    642.44/962.22 = 450.92/x
  3. Step 3: Cross multiply
    642.44x = 962.22 × 450.92
  4. Step 4: Simplify right side
    642.44x = 433,884.24
  5. Step 5: Solve for x
    x = 433,884.24/642.44
  6. Step 6: Final answer
    x = 675.37

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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.