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Finding the Fourth Proportional to 839.29, 1,158.20 and 466.27

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Solution

The fourth proportional to 839.29, 1,158.20 and 466.27 is: 643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.29 : 1,158.20 = 466.27 : x
  2. Step 2: Convert to fraction form
    839.29/1,158.20 = 466.27/x
  3. Step 3: Cross multiply
    839.29x = 1,158.20 × 466.27
  4. Step 4: Simplify right side
    839.29x = 540,033.91
  5. Step 5: Solve for x
    x = 540,033.91/839.29
  6. Step 6: Final answer
    x = 643.44

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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.