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Finding the Fourth Proportional to 523.05, 721.89 and 299.04

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Solution

The fourth proportional to 523.05, 721.89 and 299.04 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 721.89 = 299.04 : x
  2. Step 2: Convert to fraction form
    523.05/721.89 = 299.04/x
  3. Step 3: Cross multiply
    523.05x = 721.89 × 299.04
  4. Step 4: Simplify right side
    523.05x = 215,873.99
  5. Step 5: Solve for x
    x = 215,873.99/523.05
  6. Step 6: Final answer
    x = 412.72

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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.