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Finding the Fourth Proportional to 902.30, 1,352.37 and 414.14

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Solution

The fourth proportional to 902.30, 1,352.37 and 414.14 is: 620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.30 : 1,352.37 = 414.14 : x
  2. Step 2: Convert to fraction form
    902.30/1,352.37 = 414.14/x
  3. Step 3: Cross multiply
    902.30x = 1,352.37 × 414.14
  4. Step 4: Simplify right side
    902.30x = 560,070.51
  5. Step 5: Solve for x
    x = 560,070.51/902.30
  6. Step 6: Final answer
    x = 620.71

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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.