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Finding the Fourth Proportional to 459.40, 633.92 and 272.88

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Solution

The fourth proportional to 459.40, 633.92 and 272.88 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.40 : 633.92 = 272.88 : x
  2. Step 2: Convert to fraction form
    459.40/633.92 = 272.88/x
  3. Step 3: Cross multiply
    459.40x = 633.92 × 272.88
  4. Step 4: Simplify right side
    459.40x = 172,984.09
  5. Step 5: Solve for x
    x = 172,984.09/459.40
  6. Step 6: Final answer
    x = 376.54

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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.