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Finding the Fourth Proportional to 305.74, 458.80 and 224.38

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Solution

The fourth proportional to 305.74, 458.80 and 224.38 is: 336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 458.80 = 224.38 : x
  2. Step 2: Convert to fraction form
    305.74/458.80 = 224.38/x
  3. Step 3: Cross multiply
    305.74x = 458.80 × 224.38
  4. Step 4: Simplify right side
    305.74x = 102,945.54
  5. Step 5: Solve for x
    x = 102,945.54/305.74
  6. Step 6: Final answer
    x = 336.71

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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.