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Finding the Fourth Proportional to 355.46, 490.65 and 251.78

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Solution

The fourth proportional to 355.46, 490.65 and 251.78 is: 347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.46 : 490.65 = 251.78 : x
  2. Step 2: Convert to fraction form
    355.46/490.65 = 251.78/x
  3. Step 3: Cross multiply
    355.46x = 490.65 × 251.78
  4. Step 4: Simplify right side
    355.46x = 123,535.86
  5. Step 5: Solve for x
    x = 123,535.86/355.46
  6. Step 6: Final answer
    x = 347.54

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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.