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Finding the Fourth Proportional to 581.62, 871.28 and 337.63

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Solution

The fourth proportional to 581.62, 871.28 and 337.63 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.62 : 871.28 = 337.63 : x
  2. Step 2: Convert to fraction form
    581.62/871.28 = 337.63/x
  3. Step 3: Cross multiply
    581.62x = 871.28 × 337.63
  4. Step 4: Simplify right side
    581.62x = 294,170.27
  5. Step 5: Solve for x
    x = 294,170.27/581.62
  6. Step 6: Final answer
    x = 505.78

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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.