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Finding the Fourth Proportional to 902.63, 1,353.33 and 415.41

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Solution

The fourth proportional to 902.63, 1,353.33 and 415.41 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.63 : 1,353.33 = 415.41 : x
  2. Step 2: Convert to fraction form
    902.63/1,353.33 = 415.41/x
  3. Step 3: Cross multiply
    902.63x = 1,353.33 × 415.41
  4. Step 4: Simplify right side
    902.63x = 562,186.82
  5. Step 5: Solve for x
    x = 562,186.82/902.63
  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.