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Finding the Fourth Proportional to 902.02, 1,353.05 and 414.94

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Solution

The fourth proportional to 902.02, 1,353.05 and 414.94 is: 622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.02 : 1,353.05 = 414.94 : x
  2. Step 2: Convert to fraction form
    902.02/1,353.05 = 414.94/x
  3. Step 3: Cross multiply
    902.02x = 1,353.05 × 414.94
  4. Step 4: Simplify right side
    902.02x = 561,434.57
  5. Step 5: Solve for x
    x = 561,434.57/902.02
  6. Step 6: Final answer
    x = 622.42

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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.