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Finding the Fourth Proportional to 654.80, 981.51 and 243.77

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Solution

The fourth proportional to 654.80, 981.51 and 243.77 is: 365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 981.51 = 243.77 : x
  2. Step 2: Convert to fraction form
    654.80/981.51 = 243.77/x
  3. Step 3: Cross multiply
    654.80x = 981.51 × 243.77
  4. Step 4: Simplify right side
    654.80x = 239,258.76
  5. Step 5: Solve for x
    x = 239,258.76/654.80
  6. Step 6: Final answer
    x = 365.39

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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.