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Finding the Fourth Proportional to 520.24, 717.84 and 299.11

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Solution

The fourth proportional to 520.24, 717.84 and 299.11 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 717.84 = 299.11 : x
  2. Step 2: Convert to fraction form
    520.24/717.84 = 299.11/x
  3. Step 3: Cross multiply
    520.24x = 717.84 × 299.11
  4. Step 4: Simplify right side
    520.24x = 214,708.04
  5. Step 5: Solve for x
    x = 214,708.04/520.24
  6. Step 6: Final answer
    x = 412.71

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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.