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Finding the Fourth Proportional to 654.09, 981.50 and 243.51

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Solution

The fourth proportional to 654.09, 981.50 and 243.51 is: 365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 981.50 = 243.51 : x
  2. Step 2: Convert to fraction form
    654.09/981.50 = 243.51/x
  3. Step 3: Cross multiply
    654.09x = 981.50 × 243.51
  4. Step 4: Simplify right side
    654.09x = 239,001.54
  5. Step 5: Solve for x
    x = 239,001.54/654.09
  6. Step 6: Final answer
    x = 365.39

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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.