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Finding the Fourth Proportional to 459.54, 634.05 and 272.88

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Solution

The fourth proportional to 459.54, 634.05 and 272.88 is: 376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 634.05 = 272.88 : x
  2. Step 2: Convert to fraction form
    459.54/634.05 = 272.88/x
  3. Step 3: Cross multiply
    459.54x = 634.05 × 272.88
  4. Step 4: Simplify right side
    459.54x = 173,019.56
  5. Step 5: Solve for x
    x = 173,019.56/459.54
  6. Step 6: Final answer
    x = 376.51

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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.