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Finding the Fourth Proportional to 642.60, 962.22 and 498.44

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Solution

The fourth proportional to 642.60, 962.22 and 498.44 is: 746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.60 : 962.22 = 498.44 : x
  2. Step 2: Convert to fraction form
    642.60/962.22 = 498.44/x
  3. Step 3: Cross multiply
    642.60x = 962.22 × 498.44
  4. Step 4: Simplify right side
    642.60x = 479,608.94
  5. Step 5: Solve for x
    x = 479,608.94/642.60
  6. Step 6: Final answer
    x = 746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.