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Finding the Fourth Proportional to 300.72, 449.04 and 264.30

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Solution

The fourth proportional to 300.72, 449.04 and 264.30 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 449.04 = 264.30 : x
  2. Step 2: Convert to fraction form
    300.72/449.04 = 264.30/x
  3. Step 3: Cross multiply
    300.72x = 449.04 × 264.30
  4. Step 4: Simplify right side
    300.72x = 118,681.27
  5. Step 5: Solve for x
    x = 118,681.27/300.72
  6. Step 6: Final answer
    x = 394.66

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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.