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Finding the Fourth Proportional to 580.84, 869.43 and 443.54

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Solution

The fourth proportional to 580.84, 869.43 and 443.54 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 869.43 = 443.54 : x
  2. Step 2: Convert to fraction form
    580.84/869.43 = 443.54/x
  3. Step 3: Cross multiply
    580.84x = 869.43 × 443.54
  4. Step 4: Simplify right side
    580.84x = 385,626.98
  5. Step 5: Solve for x
    x = 385,626.98/580.84
  6. Step 6: Final answer
    x = 663.91

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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.