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Finding the Fourth Proportional to 354.96, 489.11 and 276.30

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Solution

The fourth proportional to 354.96, 489.11 and 276.30 is: 380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 489.11 = 276.30 : x
  2. Step 2: Convert to fraction form
    354.96/489.11 = 276.30/x
  3. Step 3: Cross multiply
    354.96x = 489.11 × 276.30
  4. Step 4: Simplify right side
    354.96x = 135,139.71
  5. Step 5: Solve for x
    x = 135,139.71/354.96
  6. Step 6: Final answer
    x = 380.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.