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Finding the Fourth Proportional to 523.23, 721.90 and 299.17

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Solution

The fourth proportional to 523.23, 721.90 and 299.17 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 721.90 = 299.17 : x
  2. Step 2: Convert to fraction form
    523.23/721.90 = 299.17/x
  3. Step 3: Cross multiply
    523.23x = 721.90 × 299.17
  4. Step 4: Simplify right side
    523.23x = 215,970.82
  5. Step 5: Solve for x
    x = 215,970.82/523.23
  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.