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Finding the Fourth Proportional to 646.09, 969.03 and 183.91

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Solution

The fourth proportional to 646.09, 969.03 and 183.91 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.09 : 969.03 = 183.91 : x
  2. Step 2: Convert to fraction form
    646.09/969.03 = 183.91/x
  3. Step 3: Cross multiply
    646.09x = 969.03 × 183.91
  4. Step 4: Simplify right side
    646.09x = 178,214.31
  5. Step 5: Solve for x
    x = 178,214.31/646.09
  6. Step 6: Final answer
    x = 275.84

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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.