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Finding the Fourth Proportional to 902.06, 1,353.69 and 415.10

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Solution

The fourth proportional to 902.06, 1,353.69 and 415.10 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.06 : 1,353.69 = 415.10 : x
  2. Step 2: Convert to fraction form
    902.06/1,353.69 = 415.10/x
  3. Step 3: Cross multiply
    902.06x = 1,353.69 × 415.10
  4. Step 4: Simplify right side
    902.06x = 561,916.72
  5. Step 5: Solve for x
    x = 561,916.72/902.06
  6. Step 6: Final answer
    x = 622.93

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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.