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Finding the Fourth Proportional to 523.07, 722.09 and 326.87

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Solution

The fourth proportional to 523.07, 722.09 and 326.87 is: 451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 722.09 = 326.87 : x
  2. Step 2: Convert to fraction form
    523.07/722.09 = 326.87/x
  3. Step 3: Cross multiply
    523.07x = 722.09 × 326.87
  4. Step 4: Simplify right side
    523.07x = 236,027.92
  5. Step 5: Solve for x
    x = 236,027.92/523.07
  6. Step 6: Final answer
    x = 451.24

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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.