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Finding the Fourth Proportional to 580.67, 869.45 and 506.85

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Solution

The fourth proportional to 580.67, 869.45 and 506.85 is: 758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 869.45 = 506.85 : x
  2. Step 2: Convert to fraction form
    580.67/869.45 = 506.85/x
  3. Step 3: Cross multiply
    580.67x = 869.45 × 506.85
  4. Step 4: Simplify right side
    580.67x = 440,680.73
  5. Step 5: Solve for x
    x = 440,680.73/580.67
  6. Step 6: Final answer
    x = 758.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.