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Finding the Fourth Proportional to 550.52, 759.48 and 314.44

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Solution

The fourth proportional to 550.52, 759.48 and 314.44 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.52 : 759.48 = 314.44 : x
  2. Step 2: Convert to fraction form
    550.52/759.48 = 314.44/x
  3. Step 3: Cross multiply
    550.52x = 759.48 × 314.44
  4. Step 4: Simplify right side
    550.52x = 238,810.89
  5. Step 5: Solve for x
    x = 238,810.89/550.52
  6. Step 6: Final answer
    x = 433.79

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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.