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Finding the Fourth Proportional to 426.18, 638.23 and 296.31

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Solution

The fourth proportional to 426.18, 638.23 and 296.31 is: 443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.18 : 638.23 = 296.31 : x
  2. Step 2: Convert to fraction form
    426.18/638.23 = 296.31/x
  3. Step 3: Cross multiply
    426.18x = 638.23 × 296.31
  4. Step 4: Simplify right side
    426.18x = 189,113.93
  5. Step 5: Solve for x
    x = 189,113.93/426.18
  6. Step 6: Final answer
    x = 443.74

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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.