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Finding the Fourth Proportional to 520.82, 718.64 and 321.50

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Solution

The fourth proportional to 520.82, 718.64 and 321.50 is: 443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.82 : 718.64 = 321.50 : x
  2. Step 2: Convert to fraction form
    520.82/718.64 = 321.50/x
  3. Step 3: Cross multiply
    520.82x = 718.64 × 321.50
  4. Step 4: Simplify right side
    520.82x = 231,039.97
  5. Step 5: Solve for x
    x = 231,039.97/520.82
  6. Step 6: Final answer
    x = 443.61

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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.