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Finding the Fourth Proportional to 636.29, 878.09 and 384.19

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Solution

The fourth proportional to 636.29, 878.09 and 384.19 is: 530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.29 : 878.09 = 384.19 : x
  2. Step 2: Convert to fraction form
    636.29/878.09 = 384.19/x
  3. Step 3: Cross multiply
    636.29x = 878.09 × 384.19
  4. Step 4: Simplify right side
    636.29x = 337,353.40
  5. Step 5: Solve for x
    x = 337,353.40/636.29
  6. Step 6: Final answer
    x = 530.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.