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Finding the Fourth Proportional to 520.20, 717.82 and 299.11

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Solution

The fourth proportional to 520.20, 717.82 and 299.11 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 717.82 = 299.11 : x
  2. Step 2: Convert to fraction form
    520.20/717.82 = 299.11/x
  3. Step 3: Cross multiply
    520.20x = 717.82 × 299.11
  4. Step 4: Simplify right side
    520.20x = 214,707.14
  5. Step 5: Solve for x
    x = 214,707.14/520.20
  6. Step 6: Final answer
    x = 412.74

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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.