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Finding the Fourth Proportional to 550.84, 759.80 and 382.52

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Solution

The fourth proportional to 550.84, 759.80 and 382.52 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.84 : 759.80 = 382.52 : x
  2. Step 2: Convert to fraction form
    550.84/759.80 = 382.52/x
  3. Step 3: Cross multiply
    550.84x = 759.80 × 382.52
  4. Step 4: Simplify right side
    550.84x = 290,638.70
  5. Step 5: Solve for x
    x = 290,638.70/550.84
  6. Step 6: Final answer
    x = 527.63

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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.