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Finding the Fourth Proportional to 361.94, 542.07 and 284.36

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Solution

The fourth proportional to 361.94, 542.07 and 284.36 is: 425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.94 : 542.07 = 284.36 : x
  2. Step 2: Convert to fraction form
    361.94/542.07 = 284.36/x
  3. Step 3: Cross multiply
    361.94x = 542.07 × 284.36
  4. Step 4: Simplify right side
    361.94x = 154,143.03
  5. Step 5: Solve for x
    x = 154,143.03/361.94
  6. Step 6: Final answer
    x = 425.88

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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.