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Finding the Fourth Proportional to 354.99, 489.68 and 276.02

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Solution

The fourth proportional to 354.99, 489.68 and 276.02 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.99 : 489.68 = 276.02 : x
  2. Step 2: Convert to fraction form
    354.99/489.68 = 276.02/x
  3. Step 3: Cross multiply
    354.99x = 489.68 × 276.02
  4. Step 4: Simplify right side
    354.99x = 135,160.52
  5. Step 5: Solve for x
    x = 135,160.52/354.99
  6. Step 6: Final answer
    x = 380.74

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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.