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Finding the Fourth Proportional to 401.99, 598.23 and 387.41

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Solution

The fourth proportional to 401.99, 598.23 and 387.41 is: 576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.99 : 598.23 = 387.41 : x
  2. Step 2: Convert to fraction form
    401.99/598.23 = 387.41/x
  3. Step 3: Cross multiply
    401.99x = 598.23 × 387.41
  4. Step 4: Simplify right side
    401.99x = 231,757.29
  5. Step 5: Solve for x
    x = 231,757.29/401.99
  6. Step 6: Final answer
    x = 576.53

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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.