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Finding the Fourth Proportional to 520.24, 717.86 and 323.76

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Solution

The fourth proportional to 520.24, 717.86 and 323.76 is: 446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 717.86 = 323.76 : x
  2. Step 2: Convert to fraction form
    520.24/717.86 = 323.76/x
  3. Step 3: Cross multiply
    520.24x = 717.86 × 323.76
  4. Step 4: Simplify right side
    520.24x = 232,414.35
  5. Step 5: Solve for x
    x = 232,414.35/520.24
  6. Step 6: Final answer
    x = 446.74

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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.