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Finding the Fourth Proportional to 415.14, 618.99 and 399.09

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Solution

The fourth proportional to 415.14, 618.99 and 399.09 is: 595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 618.99 = 399.09 : x
  2. Step 2: Convert to fraction form
    415.14/618.99 = 399.09/x
  3. Step 3: Cross multiply
    415.14x = 618.99 × 399.09
  4. Step 4: Simplify right side
    415.14x = 247,035.79
  5. Step 5: Solve for x
    x = 247,035.79/415.14
  6. Step 6: Final answer
    x = 595.06

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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.