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Finding the Fourth Proportional to 442.44, 660.29 and 393.84

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Solution

The fourth proportional to 442.44, 660.29 and 393.84 is: 587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.44 : 660.29 = 393.84 : x
  2. Step 2: Convert to fraction form
    442.44/660.29 = 393.84/x
  3. Step 3: Cross multiply
    442.44x = 660.29 × 393.84
  4. Step 4: Simplify right side
    442.44x = 260,046.64
  5. Step 5: Solve for x
    x = 260,046.64/442.44
  6. Step 6: Final answer
    x = 587.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.