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Finding the Fourth Proportional to 902.05, 1,353.15 and 285.74

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Solution

The fourth proportional to 902.05, 1,353.15 and 285.74 is: 428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.05 : 1,353.15 = 285.74 : x
  2. Step 2: Convert to fraction form
    902.05/1,353.15 = 285.74/x
  3. Step 3: Cross multiply
    902.05x = 1,353.15 × 285.74
  4. Step 4: Simplify right side
    902.05x = 386,649.08
  5. Step 5: Solve for x
    x = 386,649.08/902.05
  6. Step 6: Final answer
    x = 428.63

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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.