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Finding the Fourth Proportional to 520.13, 717.71 and 299.04

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Solution

The fourth proportional to 520.13, 717.71 and 299.04 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 717.71 = 299.04 : x
  2. Step 2: Convert to fraction form
    520.13/717.71 = 299.04/x
  3. Step 3: Cross multiply
    520.13x = 717.71 × 299.04
  4. Step 4: Simplify right side
    520.13x = 214,622.50
  5. Step 5: Solve for x
    x = 214,622.50/520.13
  6. Step 6: Final answer
    x = 412.64

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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.