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Finding the Fourth Proportional to 654.39, 981.18 and 341.60

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Solution

The fourth proportional to 654.39, 981.18 and 341.60 is: 512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.39 : 981.18 = 341.60 : x
  2. Step 2: Convert to fraction form
    654.39/981.18 = 341.60/x
  3. Step 3: Cross multiply
    654.39x = 981.18 × 341.60
  4. Step 4: Simplify right side
    654.39x = 335,166.18
  5. Step 5: Solve for x
    x = 335,166.18/654.39
  6. Step 6: Final answer
    x = 512.18

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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.