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Finding the Fourth Proportional to 399.81, 596.47 and 335.23

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Solution

The fourth proportional to 399.81, 596.47 and 335.23 is: 500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.81 : 596.47 = 335.23 : x
  2. Step 2: Convert to fraction form
    399.81/596.47 = 335.23/x
  3. Step 3: Cross multiply
    399.81x = 596.47 × 335.23
  4. Step 4: Simplify right side
    399.81x = 199,952.33
  5. Step 5: Solve for x
    x = 199,952.33/399.81
  6. Step 6: Final answer
    x = 500.12

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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.