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Finding the Fourth Proportional to 654.31, 902.62 and 388.63

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Solution

The fourth proportional to 654.31, 902.62 and 388.63 is: 536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.31 : 902.62 = 388.63 : x
  2. Step 2: Convert to fraction form
    654.31/902.62 = 388.63/x
  3. Step 3: Cross multiply
    654.31x = 902.62 × 388.63
  4. Step 4: Simplify right side
    654.31x = 350,778.75
  5. Step 5: Solve for x
    x = 350,778.75/654.31
  6. Step 6: Final answer
    x = 536.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.