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Finding the Fourth Proportional to 723.66, 998.61 and 408.93

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Solution

The fourth proportional to 723.66, 998.61 and 408.93 is: 564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 998.61 = 408.93 : x
  2. Step 2: Convert to fraction form
    723.66/998.61 = 408.93/x
  3. Step 3: Cross multiply
    723.66x = 998.61 × 408.93
  4. Step 4: Simplify right side
    723.66x = 408,361.59
  5. Step 5: Solve for x
    x = 408,361.59/723.66
  6. Step 6: Final answer
    x = 564.30

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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.