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Finding the Fourth Proportional to 581.42, 871.39 and 272.59

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Solution

The fourth proportional to 581.42, 871.39 and 272.59 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 871.39 = 272.59 : x
  2. Step 2: Convert to fraction form
    581.42/871.39 = 272.59/x
  3. Step 3: Cross multiply
    581.42x = 871.39 × 272.59
  4. Step 4: Simplify right side
    581.42x = 237,530.84
  5. Step 5: Solve for x
    x = 237,530.84/581.42
  6. Step 6: Final answer
    x = 408.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.