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Finding the Fourth Proportional to 580.66, 871.09 and 306.67

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Solution

The fourth proportional to 580.66, 871.09 and 306.67 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 871.09 = 306.67 : x
  2. Step 2: Convert to fraction form
    580.66/871.09 = 306.67/x
  3. Step 3: Cross multiply
    580.66x = 871.09 × 306.67
  4. Step 4: Simplify right side
    580.66x = 267,137.17
  5. Step 5: Solve for x
    x = 267,137.17/580.66
  6. Step 6: Final answer
    x = 460.06

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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.