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Finding the Fourth Proportional to 580.85, 871.91 and 306.87

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Solution

The fourth proportional to 580.85, 871.91 and 306.87 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.85 : 871.91 = 306.87 : x
  2. Step 2: Convert to fraction form
    580.85/871.91 = 306.87/x
  3. Step 3: Cross multiply
    580.85x = 871.91 × 306.87
  4. Step 4: Simplify right side
    580.85x = 267,563.02
  5. Step 5: Solve for x
    x = 267,563.02/580.85
  6. Step 6: Final answer
    x = 460.64

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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.