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Finding the Fourth Proportional to 395.79, 590.09 and 361.14

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Solution

The fourth proportional to 395.79, 590.09 and 361.14 is: 538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.79 : 590.09 = 361.14 : x
  2. Step 2: Convert to fraction form
    395.79/590.09 = 361.14/x
  3. Step 3: Cross multiply
    395.79x = 590.09 × 361.14
  4. Step 4: Simplify right side
    395.79x = 213,105.10
  5. Step 5: Solve for x
    x = 213,105.10/395.79
  6. Step 6: Final answer
    x = 538.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.