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Finding the Fourth Proportional to 490.78, 677.55 and 343.77

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Solution

The fourth proportional to 490.78, 677.55 and 343.77 is: 474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.78 : 677.55 = 343.77 : x
  2. Step 2: Convert to fraction form
    490.78/677.55 = 343.77/x
  3. Step 3: Cross multiply
    490.78x = 677.55 × 343.77
  4. Step 4: Simplify right side
    490.78x = 232,921.36
  5. Step 5: Solve for x
    x = 232,921.36/490.78
  6. Step 6: Final answer
    x = 474.59

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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.