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Finding the Fourth Proportional to 520.16, 717.82 and 299.17

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Solution

The fourth proportional to 520.16, 717.82 and 299.17 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 717.82 = 299.17 : x
  2. Step 2: Convert to fraction form
    520.16/717.82 = 299.17/x
  3. Step 3: Cross multiply
    520.16x = 717.82 × 299.17
  4. Step 4: Simplify right side
    520.16x = 214,750.21
  5. Step 5: Solve for x
    x = 214,750.21/520.16
  6. Step 6: Final answer
    x = 412.85

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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.