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Finding the Fourth Proportional to 713.15, 984.04 and 398.36

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Solution

The fourth proportional to 713.15, 984.04 and 398.36 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.15 : 984.04 = 398.36 : x
  2. Step 2: Convert to fraction form
    713.15/984.04 = 398.36/x
  3. Step 3: Cross multiply
    713.15x = 984.04 × 398.36
  4. Step 4: Simplify right side
    713.15x = 392,003.94
  5. Step 5: Solve for x
    x = 392,003.94/713.15
  6. Step 6: Final answer
    x = 549.68

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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.