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Finding the Fourth Proportional to 580.67, 800.99 and 414.52

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Solution

The fourth proportional to 580.67, 800.99 and 414.52 is: 571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 800.99 = 414.52 : x
  2. Step 2: Convert to fraction form
    580.67/800.99 = 414.52/x
  3. Step 3: Cross multiply
    580.67x = 800.99 × 414.52
  4. Step 4: Simplify right side
    580.67x = 332,023.85
  5. Step 5: Solve for x
    x = 332,023.85/580.67
  6. Step 6: Final answer
    x = 571.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.