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Finding the Fourth Proportional to 902.57, 1,354.01 and 286.27

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Solution

The fourth proportional to 902.57, 1,354.01 and 286.27 is: 429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.57 : 1,354.01 = 286.27 : x
  2. Step 2: Convert to fraction form
    902.57/1,354.01 = 286.27/x
  3. Step 3: Cross multiply
    902.57x = 1,354.01 × 286.27
  4. Step 4: Simplify right side
    902.57x = 387,607.63
  5. Step 5: Solve for x
    x = 387,607.63/902.57
  6. Step 6: Final answer
    x = 429.45

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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.