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Finding the Fourth Proportional to 397.89, 547.97 and 361.17

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Solution

The fourth proportional to 397.89, 547.97 and 361.17 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 547.97 = 361.17 : x
  2. Step 2: Convert to fraction form
    397.89/547.97 = 361.17/x
  3. Step 3: Cross multiply
    397.89x = 547.97 × 361.17
  4. Step 4: Simplify right side
    397.89x = 197,908.52
  5. Step 5: Solve for x
    x = 197,908.52/397.89
  6. Step 6: Final answer
    x = 497.40

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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.