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Finding the Fourth Proportional to 581.20, 870.52 and 337.12

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Solution

The fourth proportional to 581.20, 870.52 and 337.12 is: 504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.20 : 870.52 = 337.12 : x
  2. Step 2: Convert to fraction form
    581.20/870.52 = 337.12/x
  3. Step 3: Cross multiply
    581.20x = 870.52 × 337.12
  4. Step 4: Simplify right side
    581.20x = 293,469.70
  5. Step 5: Solve for x
    x = 293,469.70/581.20
  6. Step 6: Final answer
    x = 504.94

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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.