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Finding the Fourth Proportional to 523.91, 723.06 and 327.57

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Solution

The fourth proportional to 523.91, 723.06 and 327.57 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.91 : 723.06 = 327.57 : x
  2. Step 2: Convert to fraction form
    523.91/723.06 = 327.57/x
  3. Step 3: Cross multiply
    523.91x = 723.06 × 327.57
  4. Step 4: Simplify right side
    523.91x = 236,852.76
  5. Step 5: Solve for x
    x = 236,852.76/523.91
  6. Step 6: Final answer
    x = 452.09

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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.