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Finding the Fourth Proportional to 550.83, 759.93 and 314.76

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Solution

The fourth proportional to 550.83, 759.93 and 314.76 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.83 : 759.93 = 314.76 : x
  2. Step 2: Convert to fraction form
    550.83/759.93 = 314.76/x
  3. Step 3: Cross multiply
    550.83x = 759.93 × 314.76
  4. Step 4: Simplify right side
    550.83x = 239,195.57
  5. Step 5: Solve for x
    x = 239,195.57/550.83
  6. Step 6: Final answer
    x = 434.25

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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.