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Finding the Fourth Proportional to 550.35, 759.48 and 314.34

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Solution

The fourth proportional to 550.35, 759.48 and 314.34 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.35 : 759.48 = 314.34 : x
  2. Step 2: Convert to fraction form
    550.35/759.48 = 314.34/x
  3. Step 3: Cross multiply
    550.35x = 759.48 × 314.34
  4. Step 4: Simplify right side
    550.35x = 238,734.94
  5. Step 5: Solve for x
    x = 238,734.94/550.35
  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.