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Finding the Fourth Proportional to 654.22, 902.37 and 457.78

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Solution

The fourth proportional to 654.22, 902.37 and 457.78 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.22 : 902.37 = 457.78 : x
  2. Step 2: Convert to fraction form
    654.22/902.37 = 457.78/x
  3. Step 3: Cross multiply
    654.22x = 902.37 × 457.78
  4. Step 4: Simplify right side
    654.22x = 413,086.94
  5. Step 5: Solve for x
    x = 413,086.94/654.22
  6. Step 6: Final answer
    x = 631.42

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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.