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Finding the Fourth Proportional to 550.53, 759.75 and 301.86

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Solution

The fourth proportional to 550.53, 759.75 and 301.86 is: 416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.53 : 759.75 = 301.86 : x
  2. Step 2: Convert to fraction form
    550.53/759.75 = 301.86/x
  3. Step 3: Cross multiply
    550.53x = 759.75 × 301.86
  4. Step 4: Simplify right side
    550.53x = 229,338.14
  5. Step 5: Solve for x
    x = 229,338.14/550.53
  6. Step 6: Final answer
    x = 416.58

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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.