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Finding the Fourth Proportional to 645.44, 968.06 and 183.28

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Solution

The fourth proportional to 645.44, 968.06 and 183.28 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 968.06 = 183.28 : x
  2. Step 2: Convert to fraction form
    645.44/968.06 = 183.28/x
  3. Step 3: Cross multiply
    645.44x = 968.06 × 183.28
  4. Step 4: Simplify right side
    645.44x = 177,426.04
  5. Step 5: Solve for x
    x = 177,426.04/645.44
  6. Step 6: Final answer
    x = 274.89

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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.