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Finding the Fourth Proportional to 550.36, 824.01 and 318.91

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Solution

The fourth proportional to 550.36, 824.01 and 318.91 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 824.01 = 318.91 : x
  2. Step 2: Convert to fraction form
    550.36/824.01 = 318.91/x
  3. Step 3: Cross multiply
    550.36x = 824.01 × 318.91
  4. Step 4: Simplify right side
    550.36x = 262,785.03
  5. Step 5: Solve for x
    x = 262,785.03/550.36
  6. Step 6: Final answer
    x = 477.48

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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.