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Finding the Fourth Proportional to 581.80, 872.38 and 289.34

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Solution

The fourth proportional to 581.80, 872.38 and 289.34 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.80 : 872.38 = 289.34 : x
  2. Step 2: Convert to fraction form
    581.80/872.38 = 289.34/x
  3. Step 3: Cross multiply
    581.80x = 872.38 × 289.34
  4. Step 4: Simplify right side
    581.80x = 252,414.43
  5. Step 5: Solve for x
    x = 252,414.43/581.80
  6. Step 6: Final answer
    x = 433.85

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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.