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Finding the Fourth Proportional to 634.22, 875.20 and 354.44

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Solution

The fourth proportional to 634.22, 875.20 and 354.44 is: 489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 875.20 = 354.44 : x
  2. Step 2: Convert to fraction form
    634.22/875.20 = 354.44/x
  3. Step 3: Cross multiply
    634.22x = 875.20 × 354.44
  4. Step 4: Simplify right side
    634.22x = 310,205.89
  5. Step 5: Solve for x
    x = 310,205.89/634.22
  6. Step 6: Final answer
    x = 489.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.