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Finding the Fourth Proportional to 654.72, 982.16 and 243.81

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Solution

The fourth proportional to 654.72, 982.16 and 243.81 is: 365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.72 : 982.16 = 243.81 : x
  2. Step 2: Convert to fraction form
    654.72/982.16 = 243.81/x
  3. Step 3: Cross multiply
    654.72x = 982.16 × 243.81
  4. Step 4: Simplify right side
    654.72x = 239,459.21
  5. Step 5: Solve for x
    x = 239,459.21/654.72
  6. Step 6: Final answer
    x = 365.74

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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.