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Finding the Fourth Proportional to 523.62, 722.54 and 327.06

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Solution

The fourth proportional to 523.62, 722.54 and 327.06 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 722.54 = 327.06 : x
  2. Step 2: Convert to fraction form
    523.62/722.54 = 327.06/x
  3. Step 3: Cross multiply
    523.62x = 722.54 × 327.06
  4. Step 4: Simplify right side
    523.62x = 236,313.93
  5. Step 5: Solve for x
    x = 236,313.93/523.62
  6. Step 6: Final answer
    x = 451.31

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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.