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Finding the Fourth Proportional to 724.44, 999.75 and 440.76

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Solution

The fourth proportional to 724.44, 999.75 and 440.76 is: 608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 999.75 = 440.76 : x
  2. Step 2: Convert to fraction form
    724.44/999.75 = 440.76/x
  3. Step 3: Cross multiply
    724.44x = 999.75 × 440.76
  4. Step 4: Simplify right side
    724.44x = 440,647.61
  5. Step 5: Solve for x
    x = 440,647.61/724.44
  6. Step 6: Final answer
    x = 608.26

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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.