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Finding the Fourth Proportional to 520.13, 718.17 and 323.73

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Solution

The fourth proportional to 520.13, 718.17 and 323.73 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 718.17 = 323.73 : x
  2. Step 2: Convert to fraction form
    520.13/718.17 = 323.73/x
  3. Step 3: Cross multiply
    520.13x = 718.17 × 323.73
  4. Step 4: Simplify right side
    520.13x = 232,491.56
  5. Step 5: Solve for x
    x = 232,491.56/520.13
  6. Step 6: Final answer
    x = 446.99

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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.