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Finding the Fourth Proportional to 426.42, 639.81 and 234.18

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Solution

The fourth proportional to 426.42, 639.81 and 234.18 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 639.81 = 234.18 : x
  2. Step 2: Convert to fraction form
    426.42/639.81 = 234.18/x
  3. Step 3: Cross multiply
    426.42x = 639.81 × 234.18
  4. Step 4: Simplify right side
    426.42x = 149,830.71
  5. Step 5: Solve for x
    x = 149,830.71/426.42
  6. Step 6: Final answer
    x = 351.37

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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.