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Finding the Fourth Proportional to 902.16, 1,353.06 and 415.14

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Solution

The fourth proportional to 902.16, 1,353.06 and 415.14 is: 622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.16 : 1,353.06 = 415.14 : x
  2. Step 2: Convert to fraction form
    902.16/1,353.06 = 415.14/x
  3. Step 3: Cross multiply
    902.16x = 1,353.06 × 415.14
  4. Step 4: Simplify right side
    902.16x = 561,709.33
  5. Step 5: Solve for x
    x = 561,709.33/902.16
  6. Step 6: Final answer
    x = 622.63

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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.