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Finding the Fourth Proportional to 376.30, 564.02 and 284.70

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Solution

The fourth proportional to 376.30, 564.02 and 284.70 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.30 : 564.02 = 284.70 : x
  2. Step 2: Convert to fraction form
    376.30/564.02 = 284.70/x
  3. Step 3: Cross multiply
    376.30x = 564.02 × 284.70
  4. Step 4: Simplify right side
    376.30x = 160,576.49
  5. Step 5: Solve for x
    x = 160,576.49/376.30
  6. Step 6: Final answer
    x = 426.72

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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.