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Finding the Fourth Proportional to 634.12, 873.90 and 456.78

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Solution

The fourth proportional to 634.12, 873.90 and 456.78 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.12 : 873.90 = 456.78 : x
  2. Step 2: Convert to fraction form
    634.12/873.90 = 456.78/x
  3. Step 3: Cross multiply
    634.12x = 873.90 × 456.78
  4. Step 4: Simplify right side
    634.12x = 399,180.04
  5. Step 5: Solve for x
    x = 399,180.04/634.12
  6. Step 6: Final answer
    x = 629.50

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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.