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Finding the Fourth Proportional to 522.86, 721.19 and 326.30

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Solution

The fourth proportional to 522.86, 721.19 and 326.30 is: 450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 721.19 = 326.30 : x
  2. Step 2: Convert to fraction form
    522.86/721.19 = 326.30/x
  3. Step 3: Cross multiply
    522.86x = 721.19 × 326.30
  4. Step 4: Simplify right side
    522.86x = 235,324.30
  5. Step 5: Solve for x
    x = 235,324.30/522.86
  6. Step 6: Final answer
    x = 450.07

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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.