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Finding the Fourth Proportional to 520.29, 717.60 and 323.85

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Solution

The fourth proportional to 520.29, 717.60 and 323.85 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 717.60 = 323.85 : x
  2. Step 2: Convert to fraction form
    520.29/717.60 = 323.85/x
  3. Step 3: Cross multiply
    520.29x = 717.60 × 323.85
  4. Step 4: Simplify right side
    520.29x = 232,394.76
  5. Step 5: Solve for x
    x = 232,394.76/520.29
  6. Step 6: Final answer
    x = 446.66

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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.