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Finding the Fourth Proportional to 523.42, 721.93 and 324.14

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Solution

The fourth proportional to 523.42, 721.93 and 324.14 is: 447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 721.93 = 324.14 : x
  2. Step 2: Convert to fraction form
    523.42/721.93 = 324.14/x
  3. Step 3: Cross multiply
    523.42x = 721.93 × 324.14
  4. Step 4: Simplify right side
    523.42x = 234,006.39
  5. Step 5: Solve for x
    x = 234,006.39/523.42
  6. Step 6: Final answer
    x = 447.07

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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.