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Finding the Fourth Proportional to 397.50, 593.16 and 361.14

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Solution

The fourth proportional to 397.50, 593.16 and 361.14 is: 538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 593.16 = 361.14 : x
  2. Step 2: Convert to fraction form
    397.50/593.16 = 361.14/x
  3. Step 3: Cross multiply
    397.50x = 593.16 × 361.14
  4. Step 4: Simplify right side
    397.50x = 214,213.80
  5. Step 5: Solve for x
    x = 214,213.80/397.50
  6. Step 6: Final answer
    x = 538.90

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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.