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Finding the Fourth Proportional to 654.03, 980.17 and 345.22

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Solution

The fourth proportional to 654.03, 980.17 and 345.22 is: 517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 980.17 = 345.22 : x
  2. Step 2: Convert to fraction form
    654.03/980.17 = 345.22/x
  3. Step 3: Cross multiply
    654.03x = 980.17 × 345.22
  4. Step 4: Simplify right side
    654.03x = 338,370.97
  5. Step 5: Solve for x
    x = 338,370.97/654.03
  6. Step 6: Final answer
    x = 517.36

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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.