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Finding the Fourth Proportional to 298.60, 447.60 and 268.23

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Solution

The fourth proportional to 298.60, 447.60 and 268.23 is: 402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 447.60 = 268.23 : x
  2. Step 2: Convert to fraction form
    298.60/447.60 = 268.23/x
  3. Step 3: Cross multiply
    298.60x = 447.60 × 268.23
  4. Step 4: Simplify right side
    298.60x = 120,059.75
  5. Step 5: Solve for x
    x = 120,059.75/298.60
  6. Step 6: Final answer
    x = 402.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.