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Finding the Fourth Proportional to 550.71, 759.94 and 314.70

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Solution

The fourth proportional to 550.71, 759.94 and 314.70 is: 434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.71 : 759.94 = 314.70 : x
  2. Step 2: Convert to fraction form
    550.71/759.94 = 314.70/x
  3. Step 3: Cross multiply
    550.71x = 759.94 × 314.70
  4. Step 4: Simplify right side
    550.71x = 239,153.12
  5. Step 5: Solve for x
    x = 239,153.12/550.71
  6. Step 6: Final answer
    x = 434.26

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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.