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Finding the Fourth Proportional to 460, 634.62 and 273.40

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Solution

The fourth proportional to 460, 634.62 and 273.40 is: 377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 634.62 = 273.40 : x
  2. Step 2: Convert to fraction form
    460/634.62 = 273.40/x
  3. Step 3: Cross multiply
    460x = 634.62 × 273.40
  4. Step 4: Simplify right side
    460x = 173,505.11
  5. Step 5: Solve for x
    x = 173,505.11/460
  6. Step 6: Final answer
    x = 377.19

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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.