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Finding the Fourth Proportional to 717.14, 989.66 and 398.16

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Solution

The fourth proportional to 717.14, 989.66 and 398.16 is: 549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 989.66 = 398.16 : x
  2. Step 2: Convert to fraction form
    717.14/989.66 = 398.16/x
  3. Step 3: Cross multiply
    717.14x = 989.66 × 398.16
  4. Step 4: Simplify right side
    717.14x = 394,043.26
  5. Step 5: Solve for x
    x = 394,043.26/717.14
  6. Step 6: Final answer
    x = 549.46

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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.