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Finding the Fourth Proportional to 521.86, 720.24 and 325.33

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Solution

The fourth proportional to 521.86, 720.24 and 325.33 is: 449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.86 : 720.24 = 325.33 : x
  2. Step 2: Convert to fraction form
    521.86/720.24 = 325.33/x
  3. Step 3: Cross multiply
    521.86x = 720.24 × 325.33
  4. Step 4: Simplify right side
    521.86x = 234,318.54
  5. Step 5: Solve for x
    x = 234,318.54/521.86
  6. Step 6: Final answer
    x = 449.01

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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.