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Finding the Fourth Proportional to 580.43, 871.41 and 337.13

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Solution

The fourth proportional to 580.43, 871.41 and 337.13 is: 506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.43 : 871.41 = 337.13 : x
  2. Step 2: Convert to fraction form
    580.43/871.41 = 337.13/x
  3. Step 3: Cross multiply
    580.43x = 871.41 × 337.13
  4. Step 4: Simplify right side
    580.43x = 293,774.10
  5. Step 5: Solve for x
    x = 293,774.10/580.43
  6. Step 6: Final answer
    x = 506.14

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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.