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Finding the Fourth Proportional to 490.14, 675.09 and 424.62

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Solution

The fourth proportional to 490.14, 675.09 and 424.62 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 675.09 = 424.62 : x
  2. Step 2: Convert to fraction form
    490.14/675.09 = 424.62/x
  3. Step 3: Cross multiply
    490.14x = 675.09 × 424.62
  4. Step 4: Simplify right side
    490.14x = 286,656.72
  5. Step 5: Solve for x
    x = 286,656.72/490.14
  6. Step 6: Final answer
    x = 584.85

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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.