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Finding the Fourth Proportional to 490.96, 677.54 and 269.93

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Solution

The fourth proportional to 490.96, 677.54 and 269.93 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 677.54 = 269.93 : x
  2. Step 2: Convert to fraction form
    490.96/677.54 = 269.93/x
  3. Step 3: Cross multiply
    490.96x = 677.54 × 269.93
  4. Step 4: Simplify right side
    490.96x = 182,883.63
  5. Step 5: Solve for x
    x = 182,883.63/490.96
  6. Step 6: Final answer
    x = 372.50

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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.