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Finding the Fourth Proportional to 723.19, 997.88 and 408.42

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Solution

The fourth proportional to 723.19, 997.88 and 408.42 is: 563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.19 : 997.88 = 408.42 : x
  2. Step 2: Convert to fraction form
    723.19/997.88 = 408.42/x
  3. Step 3: Cross multiply
    723.19x = 997.88 × 408.42
  4. Step 4: Simplify right side
    723.19x = 407,554.15
  5. Step 5: Solve for x
    x = 407,554.15/723.19
  6. Step 6: Final answer
    x = 563.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.