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Finding the Fourth Proportional to 401.91, 554.25 and 262.13

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Solution

The fourth proportional to 401.91, 554.25 and 262.13 is: 361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.91 : 554.25 = 262.13 : x
  2. Step 2: Convert to fraction form
    401.91/554.25 = 262.13/x
  3. Step 3: Cross multiply
    401.91x = 554.25 × 262.13
  4. Step 4: Simplify right side
    401.91x = 145,286.14
  5. Step 5: Solve for x
    x = 145,286.14/401.91
  6. Step 6: Final answer
    x = 361.49

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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.