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Finding the Fourth Proportional to 361.84, 541.80 and 284.40

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Solution

The fourth proportional to 361.84, 541.80 and 284.40 is: 425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.84 : 541.80 = 284.40 : x
  2. Step 2: Convert to fraction form
    361.84/541.80 = 284.40/x
  3. Step 3: Cross multiply
    361.84x = 541.80 × 284.40
  4. Step 4: Simplify right side
    361.84x = 154,087.92
  5. Step 5: Solve for x
    x = 154,087.92/361.84
  6. Step 6: Final answer
    x = 425.85

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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.