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Finding the Fourth Proportional to 459.23, 633.74 and 272.73

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Solution

The fourth proportional to 459.23, 633.74 and 272.73 is: 376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 633.74 = 272.73 : x
  2. Step 2: Convert to fraction form
    459.23/633.74 = 272.73/x
  3. Step 3: Cross multiply
    459.23x = 633.74 × 272.73
  4. Step 4: Simplify right side
    459.23x = 172,839.91
  5. Step 5: Solve for x
    x = 172,839.91/459.23
  6. Step 6: Final answer
    x = 376.37

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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.