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Finding the Fourth Proportional to 902.71, 1,353.87 and 286.47

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Solution

The fourth proportional to 902.71, 1,353.87 and 286.47 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.71 : 1,353.87 = 286.47 : x
  2. Step 2: Convert to fraction form
    902.71/1,353.87 = 286.47/x
  3. Step 3: Cross multiply
    902.71x = 1,353.87 × 286.47
  4. Step 4: Simplify right side
    902.71x = 387,834.94
  5. Step 5: Solve for x
    x = 387,834.94/902.71
  6. Step 6: Final answer
    x = 429.64

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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.