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Finding the Fourth Proportional to 426.35, 638.39 and 243.50

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Solution

The fourth proportional to 426.35, 638.39 and 243.50 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.35 : 638.39 = 243.50 : x
  2. Step 2: Convert to fraction form
    426.35/638.39 = 243.50/x
  3. Step 3: Cross multiply
    426.35x = 638.39 × 243.50
  4. Step 4: Simplify right side
    426.35x = 155,444.77
  5. Step 5: Solve for x
    x = 155,444.77/426.35
  6. Step 6: Final answer
    x = 364.59

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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.