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Finding the Fourth Proportional to 520.00, 717.64 and 299.03

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Solution

The fourth proportional to 520.00, 717.64 and 299.03 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.00 : 717.64 = 299.03 : x
  2. Step 2: Convert to fraction form
    520.00/717.64 = 299.03/x
  3. Step 3: Cross multiply
    520.00x = 717.64 × 299.03
  4. Step 4: Simplify right side
    520.00x = 214,591.55
  5. Step 5: Solve for x
    x = 214,591.55/520.00
  6. Step 6: Final answer
    x = 412.68

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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.