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Finding the Fourth Proportional to 520.84, 779.82 and 327.88

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Solution

The fourth proportional to 520.84, 779.82 and 327.88 is: 490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.84 : 779.82 = 327.88 : x
  2. Step 2: Convert to fraction form
    520.84/779.82 = 327.88/x
  3. Step 3: Cross multiply
    520.84x = 779.82 × 327.88
  4. Step 4: Simplify right side
    520.84x = 255,687.38
  5. Step 5: Solve for x
    x = 255,687.38/520.84
  6. Step 6: Final answer
    x = 490.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.