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Finding the Fourth Proportional to 523.68, 723.24 and 327.66

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Solution

The fourth proportional to 523.68, 723.24 and 327.66 is: 452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 723.24 = 327.66 : x
  2. Step 2: Convert to fraction form
    523.68/723.24 = 327.66/x
  3. Step 3: Cross multiply
    523.68x = 723.24 × 327.66
  4. Step 4: Simplify right side
    523.68x = 236,976.82
  5. Step 5: Solve for x
    x = 236,976.82/523.68
  6. Step 6: Final answer
    x = 452.52

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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.