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Finding the Fourth Proportional to 523.02, 721.82 and 323.84

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Solution

The fourth proportional to 523.02, 721.82 and 323.84 is: 446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 721.82 = 323.84 : x
  2. Step 2: Convert to fraction form
    523.02/721.82 = 323.84/x
  3. Step 3: Cross multiply
    523.02x = 721.82 × 323.84
  4. Step 4: Simplify right side
    523.02x = 233,754.19
  5. Step 5: Solve for x
    x = 233,754.19/523.02
  6. Step 6: Final answer
    x = 446.93

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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.