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Finding the Fourth Proportional to 902.50, 1,352.94 and 325.24

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Solution

The fourth proportional to 902.50, 1,352.94 and 325.24 is: 487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,352.94 = 325.24 : x
  2. Step 2: Convert to fraction form
    902.50/1,352.94 = 325.24/x
  3. Step 3: Cross multiply
    902.50x = 1,352.94 × 325.24
  4. Step 4: Simplify right side
    902.50x = 440,028.58
  5. Step 5: Solve for x
    x = 440,028.58/902.50
  6. Step 6: Final answer
    x = 487.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.