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Finding the Fourth Proportional to 520.25, 717.84 and 299.16

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Solution

The fourth proportional to 520.25, 717.84 and 299.16 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 717.84 = 299.16 : x
  2. Step 2: Convert to fraction form
    520.25/717.84 = 299.16/x
  3. Step 3: Cross multiply
    520.25x = 717.84 × 299.16
  4. Step 4: Simplify right side
    520.25x = 214,749.01
  5. Step 5: Solve for x
    x = 214,749.01/520.25
  6. Step 6: Final answer
    x = 412.78

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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.