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Finding the Fourth Proportional to 354.85, 489.16 and 249.59

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Solution

The fourth proportional to 354.85, 489.16 and 249.59 is: 344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.85 : 489.16 = 249.59 : x
  2. Step 2: Convert to fraction form
    354.85/489.16 = 249.59/x
  3. Step 3: Cross multiply
    354.85x = 489.16 × 249.59
  4. Step 4: Simplify right side
    354.85x = 122,090.98
  5. Step 5: Solve for x
    x = 122,090.98/354.85
  6. Step 6: Final answer
    x = 344.07

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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.