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Finding the Fourth Proportional to 723.14, 997.69 and 408.36

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Solution

The fourth proportional to 723.14, 997.69 and 408.36 is: 563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.14 : 997.69 = 408.36 : x
  2. Step 2: Convert to fraction form
    723.14/997.69 = 408.36/x
  3. Step 3: Cross multiply
    723.14x = 997.69 × 408.36
  4. Step 4: Simplify right side
    723.14x = 407,416.69
  5. Step 5: Solve for x
    x = 407,416.69/723.14
  6. Step 6: Final answer
    x = 563.40

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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.