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Finding the Fourth Proportional to 654.93, 982.07 and 381.09

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Solution

The fourth proportional to 654.93, 982.07 and 381.09 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 982.07 = 381.09 : x
  2. Step 2: Convert to fraction form
    654.93/982.07 = 381.09/x
  3. Step 3: Cross multiply
    654.93x = 982.07 × 381.09
  4. Step 4: Simplify right side
    654.93x = 374,257.06
  5. Step 5: Solve for x
    x = 374,257.06/654.93
  6. Step 6: Final answer
    x = 571.45

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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.