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Finding the Fourth Proportional to 521.69, 720.03 and 325.31

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Solution

The fourth proportional to 521.69, 720.03 and 325.31 is: 448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 720.03 = 325.31 : x
  2. Step 2: Convert to fraction form
    521.69/720.03 = 325.31/x
  3. Step 3: Cross multiply
    521.69x = 720.03 × 325.31
  4. Step 4: Simplify right side
    521.69x = 234,229.36
  5. Step 5: Solve for x
    x = 234,229.36/521.69
  6. Step 6: Final answer
    x = 448.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.