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Finding the Fourth Proportional to 550.68, 759.96 and 314.62

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Solution

The fourth proportional to 550.68, 759.96 and 314.62 is: 434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 759.96 = 314.62 : x
  2. Step 2: Convert to fraction form
    550.68/759.96 = 314.62/x
  3. Step 3: Cross multiply
    550.68x = 759.96 × 314.62
  4. Step 4: Simplify right side
    550.68x = 239,098.62
  5. Step 5: Solve for x
    x = 239,098.62/550.68
  6. Step 6: Final answer
    x = 434.19

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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.