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Finding the Fourth Proportional to 552.60, 827.39 and 389.79

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Solution

The fourth proportional to 552.60, 827.39 and 389.79 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.60 : 827.39 = 389.79 : x
  2. Step 2: Convert to fraction form
    552.60/827.39 = 389.79/x
  3. Step 3: Cross multiply
    552.60x = 827.39 × 389.79
  4. Step 4: Simplify right side
    552.60x = 322,506.40
  5. Step 5: Solve for x
    x = 322,506.40/552.60
  6. Step 6: Final answer
    x = 583.62

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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.