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Finding the Fourth Proportional to 490.92, 678.16 and 392.56

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Solution

The fourth proportional to 490.92, 678.16 and 392.56 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 678.16 = 392.56 : x
  2. Step 2: Convert to fraction form
    490.92/678.16 = 392.56/x
  3. Step 3: Cross multiply
    490.92x = 678.16 × 392.56
  4. Step 4: Simplify right side
    490.92x = 266,218.49
  5. Step 5: Solve for x
    x = 266,218.49/490.92
  6. Step 6: Final answer
    x = 542.28

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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.