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Finding the Fourth Proportional to 654.98, 982.44 and 254.30

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Solution

The fourth proportional to 654.98, 982.44 and 254.30 is: 381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.98 : 982.44 = 254.30 : x
  2. Step 2: Convert to fraction form
    654.98/982.44 = 254.30/x
  3. Step 3: Cross multiply
    654.98x = 982.44 × 254.30
  4. Step 4: Simplify right side
    654.98x = 249,834.49
  5. Step 5: Solve for x
    x = 249,834.49/654.98
  6. Step 6: Final answer
    x = 381.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.