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Finding the Fourth Proportional to 401.44, 598.02 and 396.64

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Solution

The fourth proportional to 401.44, 598.02 and 396.64 is: 590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.44 : 598.02 = 396.64 : x
  2. Step 2: Convert to fraction form
    401.44/598.02 = 396.64/x
  3. Step 3: Cross multiply
    401.44x = 598.02 × 396.64
  4. Step 4: Simplify right side
    401.44x = 237,198.65
  5. Step 5: Solve for x
    x = 237,198.65/401.44
  6. Step 6: Final answer
    x = 590.87

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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.