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Finding the Fourth Proportional to 523.49, 722.64 and 326.96

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Solution

The fourth proportional to 523.49, 722.64 and 326.96 is: 451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 722.64 = 326.96 : x
  2. Step 2: Convert to fraction form
    523.49/722.64 = 326.96/x
  3. Step 3: Cross multiply
    523.49x = 722.64 × 326.96
  4. Step 4: Simplify right side
    523.49x = 236,274.37
  5. Step 5: Solve for x
    x = 236,274.37/523.49
  6. Step 6: Final answer
    x = 451.34

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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.