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Finding the Fourth Proportional to 399.23, 597.54 and 361.34

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Solution

The fourth proportional to 399.23, 597.54 and 361.34 is: 540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.23 : 597.54 = 361.34 : x
  2. Step 2: Convert to fraction form
    399.23/597.54 = 361.34/x
  3. Step 3: Cross multiply
    399.23x = 597.54 × 361.34
  4. Step 4: Simplify right side
    399.23x = 215,912.12
  5. Step 5: Solve for x
    x = 215,912.12/399.23
  6. Step 6: Final answer
    x = 540.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.