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Finding the Fourth Proportional to 312.28, 464.74 and 300.76

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Solution

The fourth proportional to 312.28, 464.74 and 300.76 is: 447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 464.74 = 300.76 : x
  2. Step 2: Convert to fraction form
    312.28/464.74 = 300.76/x
  3. Step 3: Cross multiply
    312.28x = 464.74 × 300.76
  4. Step 4: Simplify right side
    312.28x = 139,775.20
  5. Step 5: Solve for x
    x = 139,775.20/312.28
  6. Step 6: Final answer
    x = 447.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.