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Finding the Fourth Proportional to 459.49, 634.00 and 273.05

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Solution

The fourth proportional to 459.49, 634.00 and 273.05 is: 376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 634.00 = 273.05 : x
  2. Step 2: Convert to fraction form
    459.49/634.00 = 273.05/x
  3. Step 3: Cross multiply
    459.49x = 634.00 × 273.05
  4. Step 4: Simplify right side
    459.49x = 173,111.72
  5. Step 5: Solve for x
    x = 173,111.72/459.49
  6. Step 6: Final answer
    x = 376.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.