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Finding the Fourth Proportional to 361.29, 541.80 and 284.34

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Solution

The fourth proportional to 361.29, 541.80 and 284.34 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.29 : 541.80 = 284.34 : x
  2. Step 2: Convert to fraction form
    361.29/541.80 = 284.34/x
  3. Step 3: Cross multiply
    361.29x = 541.80 × 284.34
  4. Step 4: Simplify right side
    361.29x = 154,055.41
  5. Step 5: Solve for x
    x = 154,055.41/361.29
  6. Step 6: Final answer
    x = 426.40

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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.