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Finding the Fourth Proportional to 520.38, 718.08 and 323.91

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Solution

The fourth proportional to 520.38, 718.08 and 323.91 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.38 : 718.08 = 323.91 : x
  2. Step 2: Convert to fraction form
    520.38/718.08 = 323.91/x
  3. Step 3: Cross multiply
    520.38x = 718.08 × 323.91
  4. Step 4: Simplify right side
    520.38x = 232,593.29
  5. Step 5: Solve for x
    x = 232,593.29/520.38
  6. Step 6: Final answer
    x = 446.97

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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.