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Finding the Fourth Proportional to 580.57, 800.97 and 370.76

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Solution

The fourth proportional to 580.57, 800.97 and 370.76 is: 511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 800.97 = 370.76 : x
  2. Step 2: Convert to fraction form
    580.57/800.97 = 370.76/x
  3. Step 3: Cross multiply
    580.57x = 800.97 × 370.76
  4. Step 4: Simplify right side
    580.57x = 296,961.78
  5. Step 5: Solve for x
    x = 296,961.78/580.57
  6. Step 6: Final answer
    x = 511.50

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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.