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Finding the Fourth Proportional to 520.80, 718.75 and 324.34

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Solution

The fourth proportional to 520.80, 718.75 and 324.34 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 718.75 = 324.34 : x
  2. Step 2: Convert to fraction form
    520.80/718.75 = 324.34/x
  3. Step 3: Cross multiply
    520.80x = 718.75 × 324.34
  4. Step 4: Simplify right side
    520.80x = 233,121.11
  5. Step 5: Solve for x
    x = 233,121.11/520.80
  6. Step 6: Final answer
    x = 447.62

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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.