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Finding the Fourth Proportional to 654.22, 902.80 and 355.46

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Solution

The fourth proportional to 654.22, 902.80 and 355.46 is: 490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.22 : 902.80 = 355.46 : x
  2. Step 2: Convert to fraction form
    654.22/902.80 = 355.46/x
  3. Step 3: Cross multiply
    654.22x = 902.80 × 355.46
  4. Step 4: Simplify right side
    654.22x = 320,903.00
  5. Step 5: Solve for x
    x = 320,903.00/654.22
  6. Step 6: Final answer
    x = 490.51

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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.