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Finding the Fourth Proportional to 490.23, 675.92 and 423.72

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Solution

The fourth proportional to 490.23, 675.92 and 423.72 is: 584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 675.92 = 423.72 : x
  2. Step 2: Convert to fraction form
    490.23/675.92 = 423.72/x
  3. Step 3: Cross multiply
    490.23x = 675.92 × 423.72
  4. Step 4: Simplify right side
    490.23x = 286,398.70
  5. Step 5: Solve for x
    x = 286,398.70/490.23
  6. Step 6: Final answer
    x = 584.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.