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Finding the Fourth Proportional to 902.23, 1,353.40 and 285.92

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Solution

The fourth proportional to 902.23, 1,353.40 and 285.92 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.23 : 1,353.40 = 285.92 : x
  2. Step 2: Convert to fraction form
    902.23/1,353.40 = 285.92/x
  3. Step 3: Cross multiply
    902.23x = 1,353.40 × 285.92
  4. Step 4: Simplify right side
    902.23x = 386,967.05
  5. Step 5: Solve for x
    x = 386,967.05/902.23
  6. Step 6: Final answer
    x = 428.90

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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.