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Finding the Fourth Proportional to 723.15, 997.95 and 408.43

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Solution

The fourth proportional to 723.15, 997.95 and 408.43 is: 563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.15 : 997.95 = 408.43 : x
  2. Step 2: Convert to fraction form
    723.15/997.95 = 408.43/x
  3. Step 3: Cross multiply
    723.15x = 997.95 × 408.43
  4. Step 4: Simplify right side
    723.15x = 407,592.72
  5. Step 5: Solve for x
    x = 407,592.72/723.15
  6. Step 6: Final answer
    x = 563.64

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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.