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Finding the Fourth Proportional to 490.16, 675.24 and 425.36

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Solution

The fourth proportional to 490.16, 675.24 and 425.36 is: 585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 675.24 = 425.36 : x
  2. Step 2: Convert to fraction form
    490.16/675.24 = 425.36/x
  3. Step 3: Cross multiply
    490.16x = 675.24 × 425.36
  4. Step 4: Simplify right side
    490.16x = 287,220.09
  5. Step 5: Solve for x
    x = 287,220.09/490.16
  6. Step 6: Final answer
    x = 585.97

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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.