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Finding the Fourth Proportional to 902.25, 1,353.36 and 415.23

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Solution

The fourth proportional to 902.25, 1,353.36 and 415.23 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 1,353.36 = 415.23 : x
  2. Step 2: Convert to fraction form
    902.25/1,353.36 = 415.23/x
  3. Step 3: Cross multiply
    902.25x = 1,353.36 × 415.23
  4. Step 4: Simplify right side
    902.25x = 561,955.67
  5. Step 5: Solve for x
    x = 561,955.67/902.25
  6. Step 6: Final answer
    x = 622.84

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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.