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Finding the Fourth Proportional to 550.36, 759.50 and 301.68

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Solution

The fourth proportional to 550.36, 759.50 and 301.68 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 759.50 = 301.68 : x
  2. Step 2: Convert to fraction form
    550.36/759.50 = 301.68/x
  3. Step 3: Cross multiply
    550.36x = 759.50 × 301.68
  4. Step 4: Simplify right side
    550.36x = 229,125.96
  5. Step 5: Solve for x
    x = 229,125.96/550.36
  6. Step 6: Final answer
    x = 416.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.