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Finding the Fourth Proportional to 354.97, 489.99 and 230.77

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Solution

The fourth proportional to 354.97, 489.99 and 230.77 is: 318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.97 : 489.99 = 230.77 : x
  2. Step 2: Convert to fraction form
    354.97/489.99 = 230.77/x
  3. Step 3: Cross multiply
    354.97x = 489.99 × 230.77
  4. Step 4: Simplify right side
    354.97x = 113,074.99
  5. Step 5: Solve for x
    x = 113,074.99/354.97
  6. Step 6: Final answer
    x = 318.55

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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.