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Finding the Fourth Proportional to 634.43, 874.85 and 584.21

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Solution

The fourth proportional to 634.43, 874.85 and 584.21 is: 805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.43 : 874.85 = 584.21 : x
  2. Step 2: Convert to fraction form
    634.43/874.85 = 584.21/x
  3. Step 3: Cross multiply
    634.43x = 874.85 × 584.21
  4. Step 4: Simplify right side
    634.43x = 511,098.67
  5. Step 5: Solve for x
    x = 511,098.67/634.43
  6. Step 6: Final answer
    x = 805.60

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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.