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Finding the Fourth Proportional to 581.32, 871.97 and 273.07

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Solution

The fourth proportional to 581.32, 871.97 and 273.07 is: 409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 871.97 = 273.07 : x
  2. Step 2: Convert to fraction form
    581.32/871.97 = 273.07/x
  3. Step 3: Cross multiply
    581.32x = 871.97 × 273.07
  4. Step 4: Simplify right side
    581.32x = 238,105.30
  5. Step 5: Solve for x
    x = 238,105.30/581.32
  6. Step 6: Final answer
    x = 409.60

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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.