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Finding the Fourth Proportional to 902.40, 1,353.12 and 285.84

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Solution

The fourth proportional to 902.40, 1,353.12 and 285.84 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.40 : 1,353.12 = 285.84 : x
  2. Step 2: Convert to fraction form
    902.40/1,353.12 = 285.84/x
  3. Step 3: Cross multiply
    902.40x = 1,353.12 × 285.84
  4. Step 4: Simplify right side
    902.40x = 386,775.82
  5. Step 5: Solve for x
    x = 386,775.82/902.40
  6. Step 6: Final answer
    x = 428.61

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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.