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Finding the Fourth Proportional to 634.17, 875.16 and 354.43

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Solution

The fourth proportional to 634.17, 875.16 and 354.43 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.17 : 875.16 = 354.43 : x
  2. Step 2: Convert to fraction form
    634.17/875.16 = 354.43/x
  3. Step 3: Cross multiply
    634.17x = 875.16 × 354.43
  4. Step 4: Simplify right side
    634.17x = 310,182.96
  5. Step 5: Solve for x
    x = 310,182.96/634.17
  6. Step 6: Final answer
    x = 489.12

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Why These Related Problems?

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