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Finding the Fourth Proportional to 361.32, 539.01 and 307.56

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Solution

The fourth proportional to 361.32, 539.01 and 307.56 is: 458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.32 : 539.01 = 307.56 : x
  2. Step 2: Convert to fraction form
    361.32/539.01 = 307.56/x
  3. Step 3: Cross multiply
    361.32x = 539.01 × 307.56
  4. Step 4: Simplify right side
    361.32x = 165,777.92
  5. Step 5: Solve for x
    x = 165,777.92/361.32
  6. Step 6: Final answer
    x = 458.81

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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.