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Finding the Fourth Proportional to 550.24, 759.34 and 301.56

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Solution

The fourth proportional to 550.24, 759.34 and 301.56 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.24 : 759.34 = 301.56 : x
  2. Step 2: Convert to fraction form
    550.24/759.34 = 301.56/x
  3. Step 3: Cross multiply
    550.24x = 759.34 × 301.56
  4. Step 4: Simplify right side
    550.24x = 228,986.95
  5. Step 5: Solve for x
    x = 228,986.95/550.24
  6. Step 6: Final answer
    x = 416.16

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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.