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Finding the Fourth Proportional to 520.38, 717.39 and 396.45

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Solution

The fourth proportional to 520.38, 717.39 and 396.45 is: 546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.38 : 717.39 = 396.45 : x
  2. Step 2: Convert to fraction form
    520.38/717.39 = 396.45/x
  3. Step 3: Cross multiply
    520.38x = 717.39 × 396.45
  4. Step 4: Simplify right side
    520.38x = 284,409.27
  5. Step 5: Solve for x
    x = 284,409.27/520.38
  6. Step 6: Final answer
    x = 546.54

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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.