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Finding the Fourth Proportional to 723.72, 998.76 and 409

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Solution

The fourth proportional to 723.72, 998.76 and 409 is: 564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.72 : 998.76 = 409 : x
  2. Step 2: Convert to fraction form
    723.72/998.76 = 409/x
  3. Step 3: Cross multiply
    723.72x = 998.76 × 409
  4. Step 4: Simplify right side
    723.72x = 408,492.84
  5. Step 5: Solve for x
    x = 408,492.84/723.72
  6. Step 6: Final answer
    x = 564.43

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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.