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Finding the Fourth Proportional to 654.96, 982.40 and 381.12

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Solution

The fourth proportional to 654.96, 982.40 and 381.12 is: 571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.96 : 982.40 = 381.12 : x
  2. Step 2: Convert to fraction form
    654.96/982.40 = 381.12/x
  3. Step 3: Cross multiply
    654.96x = 982.40 × 381.12
  4. Step 4: Simplify right side
    654.96x = 374,412.29
  5. Step 5: Solve for x
    x = 374,412.29/654.96
  6. Step 6: Final answer
    x = 571.66

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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.