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Finding the Fourth Proportional to 460.67, 635.81 and 274.17

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Solution

The fourth proportional to 460.67, 635.81 and 274.17 is: 378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.67 : 635.81 = 274.17 : x
  2. Step 2: Convert to fraction form
    460.67/635.81 = 274.17/x
  3. Step 3: Cross multiply
    460.67x = 635.81 × 274.17
  4. Step 4: Simplify right side
    460.67x = 174,318.66
  5. Step 5: Solve for x
    x = 174,318.66/460.67
  6. Step 6: Final answer
    x = 378.40

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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.