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Finding the Fourth Proportional to 523.97, 723.11 and 314.11

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Solution

The fourth proportional to 523.97, 723.11 and 314.11 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 723.11 = 314.11 : x
  2. Step 2: Convert to fraction form
    523.97/723.11 = 314.11/x
  3. Step 3: Cross multiply
    523.97x = 723.11 × 314.11
  4. Step 4: Simplify right side
    523.97x = 227,136.08
  5. Step 5: Solve for x
    x = 227,136.08/523.97
  6. Step 6: Final answer
    x = 433.49

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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.