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Finding the Fourth Proportional to 523.06, 721.82 and 299.04

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Solution

The fourth proportional to 523.06, 721.82 and 299.04 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 721.82 = 299.04 : x
  2. Step 2: Convert to fraction form
    523.06/721.82 = 299.04/x
  3. Step 3: Cross multiply
    523.06x = 721.82 × 299.04
  4. Step 4: Simplify right side
    523.06x = 215,853.27
  5. Step 5: Solve for x
    x = 215,853.27/523.06
  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.