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Finding the Fourth Proportional to 520.27, 717.63 and 333.69

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Solution

The fourth proportional to 520.27, 717.63 and 333.69 is: 460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.27 : 717.63 = 333.69 : x
  2. Step 2: Convert to fraction form
    520.27/717.63 = 333.69/x
  3. Step 3: Cross multiply
    520.27x = 717.63 × 333.69
  4. Step 4: Simplify right side
    520.27x = 239,462.01
  5. Step 5: Solve for x
    x = 239,462.01/520.27
  6. Step 6: Final answer
    x = 460.26

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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.