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Finding the Fourth Proportional to 713.97, 985.22 and 399.29

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Solution

The fourth proportional to 713.97, 985.22 and 399.29 is: 550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.97 : 985.22 = 399.29 : x
  2. Step 2: Convert to fraction form
    713.97/985.22 = 399.29/x
  3. Step 3: Cross multiply
    713.97x = 985.22 × 399.29
  4. Step 4: Simplify right side
    713.97x = 393,381.57
  5. Step 5: Solve for x
    x = 393,381.57/713.97
  6. Step 6: Final answer
    x = 550.98

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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.