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Finding the Fourth Proportional to 654.90, 982.11 and 270.02

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Solution

The fourth proportional to 654.90, 982.11 and 270.02 is: 404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 982.11 = 270.02 : x
  2. Step 2: Convert to fraction form
    654.90/982.11 = 270.02/x
  3. Step 3: Cross multiply
    654.90x = 982.11 × 270.02
  4. Step 4: Simplify right side
    654.90x = 265,189.34
  5. Step 5: Solve for x
    x = 265,189.34/654.90
  6. Step 6: Final answer
    x = 404.93

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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.