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Finding the Fourth Proportional to 713.16, 984.13 and 398.42

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Solution

The fourth proportional to 713.16, 984.13 and 398.42 is: 549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 984.13 = 398.42 : x
  2. Step 2: Convert to fraction form
    713.16/984.13 = 398.42/x
  3. Step 3: Cross multiply
    713.16x = 984.13 × 398.42
  4. Step 4: Simplify right side
    713.16x = 392,097.07
  5. Step 5: Solve for x
    x = 392,097.07/713.16
  6. Step 6: Final answer
    x = 549.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.