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Finding the Fourth Proportional to 426, 635.50 and 411.04

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Solution

The fourth proportional to 426, 635.50 and 411.04 is: 613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 635.50 = 411.04 : x
  2. Step 2: Convert to fraction form
    426/635.50 = 411.04/x
  3. Step 3: Cross multiply
    426x = 635.50 × 411.04
  4. Step 4: Simplify right side
    426x = 261,215.92
  5. Step 5: Solve for x
    x = 261,215.92/426
  6. Step 6: Final answer
    x = 613.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.