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Finding the Fourth Proportional to 522.59, 721.33 and 323.57

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Solution

The fourth proportional to 522.59, 721.33 and 323.57 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 721.33 = 323.57 : x
  2. Step 2: Convert to fraction form
    522.59/721.33 = 323.57/x
  3. Step 3: Cross multiply
    522.59x = 721.33 × 323.57
  4. Step 4: Simplify right side
    522.59x = 233,401.74
  5. Step 5: Solve for x
    x = 233,401.74/522.59
  6. Step 6: Final answer
    x = 446.63

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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.