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Finding the Fourth Proportional to 634.67, 875.84 and 354.90

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Solution

The fourth proportional to 634.67, 875.84 and 354.90 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.67 : 875.84 = 354.90 : x
  2. Step 2: Convert to fraction form
    634.67/875.84 = 354.90/x
  3. Step 3: Cross multiply
    634.67x = 875.84 × 354.90
  4. Step 4: Simplify right side
    634.67x = 310,834.51
  5. Step 5: Solve for x
    x = 310,834.51/634.67
  6. Step 6: Final answer
    x = 489.76

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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.