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Finding the Fourth Proportional to 520.02, 717.61 and 283.97

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Solution

The fourth proportional to 520.02, 717.61 and 283.97 is: 391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 717.61 = 283.97 : x
  2. Step 2: Convert to fraction form
    520.02/717.61 = 283.97/x
  3. Step 3: Cross multiply
    520.02x = 717.61 × 283.97
  4. Step 4: Simplify right side
    520.02x = 203,778.30
  5. Step 5: Solve for x
    x = 203,778.30/520.02
  6. Step 6: Final answer
    x = 391.87

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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.