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Finding the Fourth Proportional to 423.24, 634.86 and 411.72

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Solution

The fourth proportional to 423.24, 634.86 and 411.72 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 634.86 = 411.72 : x
  2. Step 2: Convert to fraction form
    423.24/634.86 = 411.72/x
  3. Step 3: Cross multiply
    423.24x = 634.86 × 411.72
  4. Step 4: Simplify right side
    423.24x = 261,384.56
  5. Step 5: Solve for x
    x = 261,384.56/423.24
  6. Step 6: Final answer
    x = 617.58

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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.