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Finding the Fourth Proportional to 581.67, 872.24 and 338.27

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Solution

The fourth proportional to 581.67, 872.24 and 338.27 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.67 : 872.24 = 338.27 : x
  2. Step 2: Convert to fraction form
    581.67/872.24 = 338.27/x
  3. Step 3: Cross multiply
    581.67x = 872.24 × 338.27
  4. Step 4: Simplify right side
    581.67x = 295,052.62
  5. Step 5: Solve for x
    x = 295,052.62/581.67
  6. Step 6: Final answer
    x = 507.25

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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.