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Finding the Fourth Proportional to 505.69, 757.22 and 300.40

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Solution

The fourth proportional to 505.69, 757.22 and 300.40 is: 449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 757.22 = 300.40 : x
  2. Step 2: Convert to fraction form
    505.69/757.22 = 300.40/x
  3. Step 3: Cross multiply
    505.69x = 757.22 × 300.40
  4. Step 4: Simplify right side
    505.69x = 227,465.49
  5. Step 5: Solve for x
    x = 227,465.49/505.69
  6. Step 6: Final answer
    x = 449.81

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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.