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Finding the Fourth Proportional to 300.76, 448.96 and 264.31

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Solution

The fourth proportional to 300.76, 448.96 and 264.31 is: 394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 448.96 = 264.31 : x
  2. Step 2: Convert to fraction form
    300.76/448.96 = 264.31/x
  3. Step 3: Cross multiply
    300.76x = 448.96 × 264.31
  4. Step 4: Simplify right side
    300.76x = 118,664.62
  5. Step 5: Solve for x
    x = 118,664.62/300.76
  6. Step 6: Final answer
    x = 394.55

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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.