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Finding the Fourth Proportional to 459.30, 633.81 and 272.87

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Solution

The fourth proportional to 459.30, 633.81 and 272.87 is: 376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 633.81 = 272.87 : x
  2. Step 2: Convert to fraction form
    459.30/633.81 = 272.87/x
  3. Step 3: Cross multiply
    459.30x = 633.81 × 272.87
  4. Step 4: Simplify right side
    459.30x = 172,947.73
  5. Step 5: Solve for x
    x = 172,947.73/459.30
  6. Step 6: Final answer
    x = 376.55

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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.