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Finding the Fourth Proportional to 426.36, 639.20 and 252.60

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Solution

The fourth proportional to 426.36, 639.20 and 252.60 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.36 : 639.20 = 252.60 : x
  2. Step 2: Convert to fraction form
    426.36/639.20 = 252.60/x
  3. Step 3: Cross multiply
    426.36x = 639.20 × 252.60
  4. Step 4: Simplify right side
    426.36x = 161,461.92
  5. Step 5: Solve for x
    x = 161,461.92/426.36
  6. Step 6: Final answer
    x = 378.70

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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.