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Finding the Fourth Proportional to 490.92, 678 and 465.13

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Solution

The fourth proportional to 490.92, 678 and 465.13 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 678 = 465.13 : x
  2. Step 2: Convert to fraction form
    490.92/678 = 465.13/x
  3. Step 3: Cross multiply
    490.92x = 678 × 465.13
  4. Step 4: Simplify right side
    490.92x = 315,358.14
  5. Step 5: Solve for x
    x = 315,358.14/490.92
  6. Step 6: Final answer
    x = 642.38

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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.