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Finding the Fourth Proportional to 523.14, 721.72 and 326.32

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Solution

The fourth proportional to 523.14, 721.72 and 326.32 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 721.72 = 326.32 : x
  2. Step 2: Convert to fraction form
    523.14/721.72 = 326.32/x
  3. Step 3: Cross multiply
    523.14x = 721.72 × 326.32
  4. Step 4: Simplify right side
    523.14x = 235,511.67
  5. Step 5: Solve for x
    x = 235,511.67/523.14
  6. Step 6: Final answer
    x = 450.19

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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.