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Finding the Fourth Proportional to 654.63, 982.38 and 243.77

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Solution

The fourth proportional to 654.63, 982.38 and 243.77 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.63 : 982.38 = 243.77 : x
  2. Step 2: Convert to fraction form
    654.63/982.38 = 243.77/x
  3. Step 3: Cross multiply
    654.63x = 982.38 × 243.77
  4. Step 4: Simplify right side
    654.63x = 239,473.55
  5. Step 5: Solve for x
    x = 239,473.55/654.63
  6. Step 6: Final answer
    x = 365.82

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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.