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Finding the Fourth Proportional to 523.86, 722.57 and 327.30

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Solution

The fourth proportional to 523.86, 722.57 and 327.30 is: 451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 722.57 = 327.30 : x
  2. Step 2: Convert to fraction form
    523.86/722.57 = 327.30/x
  3. Step 3: Cross multiply
    523.86x = 722.57 × 327.30
  4. Step 4: Simplify right side
    523.86x = 236,497.16
  5. Step 5: Solve for x
    x = 236,497.16/523.86
  6. Step 6: Final answer
    x = 451.45

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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.