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Finding the Fourth Proportional to 459.60, 633.97 and 273.05

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Solution

The fourth proportional to 459.60, 633.97 and 273.05 is: 376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.60 : 633.97 = 273.05 : x
  2. Step 2: Convert to fraction form
    459.60/633.97 = 273.05/x
  3. Step 3: Cross multiply
    459.60x = 633.97 × 273.05
  4. Step 4: Simplify right side
    459.60x = 173,107.86
  5. Step 5: Solve for x
    x = 173,107.86/459.60
  6. Step 6: Final answer
    x = 376.65

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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.