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Finding the Fourth Proportional to 520.52, 718.36 and 324.06

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Solution

The fourth proportional to 520.52, 718.36 and 324.06 is: 447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 718.36 = 324.06 : x
  2. Step 2: Convert to fraction form
    520.52/718.36 = 324.06/x
  3. Step 3: Cross multiply
    520.52x = 718.36 × 324.06
  4. Step 4: Simplify right side
    520.52x = 232,793.19
  5. Step 5: Solve for x
    x = 232,793.19/520.52
  6. Step 6: Final answer
    x = 447.23

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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.