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Finding the Fourth Proportional to 398.97, 595.71 and 338.13

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Solution

The fourth proportional to 398.97, 595.71 and 338.13 is: 504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.97 : 595.71 = 338.13 : x
  2. Step 2: Convert to fraction form
    398.97/595.71 = 338.13/x
  3. Step 3: Cross multiply
    398.97x = 595.71 × 338.13
  4. Step 4: Simplify right side
    398.97x = 201,427.42
  5. Step 5: Solve for x
    x = 201,427.42/398.97
  6. Step 6: Final answer
    x = 504.87

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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.