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Finding the Fourth Proportional to 520.12, 717.77 and 299.10

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Solution

The fourth proportional to 520.12, 717.77 and 299.10 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 717.77 = 299.10 : x
  2. Step 2: Convert to fraction form
    520.12/717.77 = 299.10/x
  3. Step 3: Cross multiply
    520.12x = 717.77 × 299.10
  4. Step 4: Simplify right side
    520.12x = 214,685.01
  5. Step 5: Solve for x
    x = 214,685.01/520.12
  6. Step 6: Final answer
    x = 412.76

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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.