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Finding the Fourth Proportional to 490.61, 677.10 and 294.23

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Solution

The fourth proportional to 490.61, 677.10 and 294.23 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.61 : 677.10 = 294.23 : x
  2. Step 2: Convert to fraction form
    490.61/677.10 = 294.23/x
  3. Step 3: Cross multiply
    490.61x = 677.10 × 294.23
  4. Step 4: Simplify right side
    490.61x = 199,223.13
  5. Step 5: Solve for x
    x = 199,223.13/490.61
  6. Step 6: Final answer
    x = 406.07

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