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Finding the Fourth Proportional to 713.24, 984.26 and 398.50

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Solution

The fourth proportional to 713.24, 984.26 and 398.50 is: 549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 984.26 = 398.50 : x
  2. Step 2: Convert to fraction form
    713.24/984.26 = 398.50/x
  3. Step 3: Cross multiply
    713.24x = 984.26 × 398.50
  4. Step 4: Simplify right side
    713.24x = 392,227.61
  5. Step 5: Solve for x
    x = 392,227.61/713.24
  6. Step 6: Final answer
    x = 549.92

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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.