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Finding the Fourth Proportional to 654.98, 982.71 and 244.13

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Solution

The fourth proportional to 654.98, 982.71 and 244.13 is: 366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.98 : 982.71 = 244.13 : x
  2. Step 2: Convert to fraction form
    654.98/982.71 = 244.13/x
  3. Step 3: Cross multiply
    654.98x = 982.71 × 244.13
  4. Step 4: Simplify right side
    654.98x = 239,904.08
  5. Step 5: Solve for x
    x = 239,904.08/654.98
  6. Step 6: Final answer
    x = 366.28

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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.