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Finding the Fourth Proportional to 580.73, 871.33 and 307.06

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Solution

The fourth proportional to 580.73, 871.33 and 307.06 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.73 : 871.33 = 307.06 : x
  2. Step 2: Convert to fraction form
    580.73/871.33 = 307.06/x
  3. Step 3: Cross multiply
    580.73x = 871.33 × 307.06
  4. Step 4: Simplify right side
    580.73x = 267,550.59
  5. Step 5: Solve for x
    x = 267,550.59/580.73
  6. Step 6: Final answer
    x = 460.71

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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.