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Finding the Fourth Proportional to 520.18, 717.82 and 299.14

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Solution

The fourth proportional to 520.18, 717.82 and 299.14 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.18 : 717.82 = 299.14 : x
  2. Step 2: Convert to fraction form
    520.18/717.82 = 299.14/x
  3. Step 3: Cross multiply
    520.18x = 717.82 × 299.14
  4. Step 4: Simplify right side
    520.18x = 214,726.13
  5. Step 5: Solve for x
    x = 214,726.13/520.18
  6. Step 6: Final answer
    x = 412.79

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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.