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Finding the Fourth Proportional to 902.52, 1,353.80 and 415.44

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Solution

The fourth proportional to 902.52, 1,353.80 and 415.44 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.52 : 1,353.80 = 415.44 : x
  2. Step 2: Convert to fraction form
    902.52/1,353.80 = 415.44/x
  3. Step 3: Cross multiply
    902.52x = 1,353.80 × 415.44
  4. Step 4: Simplify right side
    902.52x = 562,422.67
  5. Step 5: Solve for x
    x = 562,422.67/902.52
  6. Step 6: Final answer
    x = 623.17

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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.