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Finding the Fourth Proportional to 551.38, 759.84 and 354.56

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Solution

The fourth proportional to 551.38, 759.84 and 354.56 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.38 : 759.84 = 354.56 : x
  2. Step 2: Convert to fraction form
    551.38/759.84 = 354.56/x
  3. Step 3: Cross multiply
    551.38x = 759.84 × 354.56
  4. Step 4: Simplify right side
    551.38x = 269,408.87
  5. Step 5: Solve for x
    x = 269,408.87/551.38
  6. Step 6: Final answer
    x = 488.61

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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.