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Finding the Fourth Proportional to 426.69, 640.20 and 305.91

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Solution

The fourth proportional to 426.69, 640.20 and 305.91 is: 458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.69 : 640.20 = 305.91 : x
  2. Step 2: Convert to fraction form
    426.69/640.20 = 305.91/x
  3. Step 3: Cross multiply
    426.69x = 640.20 × 305.91
  4. Step 4: Simplify right side
    426.69x = 195,843.58
  5. Step 5: Solve for x
    x = 195,843.58/426.69
  6. Step 6: Final answer
    x = 458.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.