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Finding the Fourth Proportional to 361.67, 542.94 and 284.88

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Solution

The fourth proportional to 361.67, 542.94 and 284.88 is: 427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 542.94 = 284.88 : x
  2. Step 2: Convert to fraction form
    361.67/542.94 = 284.88/x
  3. Step 3: Cross multiply
    361.67x = 542.94 × 284.88
  4. Step 4: Simplify right side
    361.67x = 154,672.75
  5. Step 5: Solve for x
    x = 154,672.75/361.67
  6. Step 6: Final answer
    x = 427.67

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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.