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Finding the Fourth Proportional to 522.86, 721.41 and 323.66

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Solution

The fourth proportional to 522.86, 721.41 and 323.66 is: 446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 721.41 = 323.66 : x
  2. Step 2: Convert to fraction form
    522.86/721.41 = 323.66/x
  3. Step 3: Cross multiply
    522.86x = 721.41 × 323.66
  4. Step 4: Simplify right side
    522.86x = 233,491.56
  5. Step 5: Solve for x
    x = 233,491.56/522.86
  6. Step 6: Final answer
    x = 446.57

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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.