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Finding the Fourth Proportional to 581.24, 871.06 and 320.85

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Solution

The fourth proportional to 581.24, 871.06 and 320.85 is: 480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 871.06 = 320.85 : x
  2. Step 2: Convert to fraction form
    581.24/871.06 = 320.85/x
  3. Step 3: Cross multiply
    581.24x = 871.06 × 320.85
  4. Step 4: Simplify right side
    581.24x = 279,473.64
  5. Step 5: Solve for x
    x = 279,473.64/581.24
  6. Step 6: Final answer
    x = 480.83

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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.