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Finding the Fourth Proportional to 713.09, 983.98 and 398.37

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Solution

The fourth proportional to 713.09, 983.98 and 398.37 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.09 : 983.98 = 398.37 : x
  2. Step 2: Convert to fraction form
    713.09/983.98 = 398.37/x
  3. Step 3: Cross multiply
    713.09x = 983.98 × 398.37
  4. Step 4: Simplify right side
    713.09x = 391,992.30
  5. Step 5: Solve for x
    x = 391,992.30/713.09
  6. Step 6: Final answer
    x = 549.71

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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.