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Finding the Fourth Proportional to 902.40, 1,353.62 and 253.18

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Solution

The fourth proportional to 902.40, 1,353.62 and 253.18 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.40 : 1,353.62 = 253.18 : x
  2. Step 2: Convert to fraction form
    902.40/1,353.62 = 253.18/x
  3. Step 3: Cross multiply
    902.40x = 1,353.62 × 253.18
  4. Step 4: Simplify right side
    902.40x = 342,708.25
  5. Step 5: Solve for x
    x = 342,708.25/902.40
  6. Step 6: Final answer
    x = 379.78

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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.