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Finding the Fourth Proportional to 460.66, 635.50 and 274.05

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Solution

The fourth proportional to 460.66, 635.50 and 274.05 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.66 : 635.50 = 274.05 : x
  2. Step 2: Convert to fraction form
    460.66/635.50 = 274.05/x
  3. Step 3: Cross multiply
    460.66x = 635.50 × 274.05
  4. Step 4: Simplify right side
    460.66x = 174,158.78
  5. Step 5: Solve for x
    x = 174,158.78/460.66
  6. Step 6: Final answer
    x = 378.06

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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.