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Finding the Fourth Proportional to 460.18, 634.48 and 394.57

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Solution

The fourth proportional to 460.18, 634.48 and 394.57 is: 544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 634.48 = 394.57 : x
  2. Step 2: Convert to fraction form
    460.18/634.48 = 394.57/x
  3. Step 3: Cross multiply
    460.18x = 634.48 × 394.57
  4. Step 4: Simplify right side
    460.18x = 250,348.80
  5. Step 5: Solve for x
    x = 250,348.80/460.18
  6. Step 6: Final answer
    x = 544.02

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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.