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Finding the Fourth Proportional to 723.10, 997.82 and 408.32

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Solution

The fourth proportional to 723.10, 997.82 and 408.32 is: 563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.10 : 997.82 = 408.32 : x
  2. Step 2: Convert to fraction form
    723.10/997.82 = 408.32/x
  3. Step 3: Cross multiply
    723.10x = 997.82 × 408.32
  4. Step 4: Simplify right side
    723.10x = 407,429.86
  5. Step 5: Solve for x
    x = 407,429.86/723.10
  6. Step 6: Final answer
    x = 563.45

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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.