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Finding the Fourth Proportional to 523.48, 721.95 and 326.80

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Solution

The fourth proportional to 523.48, 721.95 and 326.80 is: 450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 721.95 = 326.80 : x
  2. Step 2: Convert to fraction form
    523.48/721.95 = 326.80/x
  3. Step 3: Cross multiply
    523.48x = 721.95 × 326.80
  4. Step 4: Simplify right side
    523.48x = 235,933.26
  5. Step 5: Solve for x
    x = 235,933.26/523.48
  6. Step 6: Final answer
    x = 450.70

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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.