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Finding the Fourth Proportional to 713.37, 984.37 and 398.66

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Solution

The fourth proportional to 713.37, 984.37 and 398.66 is: 550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.37 : 984.37 = 398.66 : x
  2. Step 2: Convert to fraction form
    713.37/984.37 = 398.66/x
  3. Step 3: Cross multiply
    713.37x = 984.37 × 398.66
  4. Step 4: Simplify right side
    713.37x = 392,422.03
  5. Step 5: Solve for x
    x = 392,422.03/713.37
  6. Step 6: Final answer
    x = 550.10

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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.