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Finding the Fourth Proportional to 468.53, 646.61 and 269.43

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Solution

The fourth proportional to 468.53, 646.61 and 269.43 is: 371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 646.61 = 269.43 : x
  2. Step 2: Convert to fraction form
    468.53/646.61 = 269.43/x
  3. Step 3: Cross multiply
    468.53x = 646.61 × 269.43
  4. Step 4: Simplify right side
    468.53x = 174,214.18
  5. Step 5: Solve for x
    x = 174,214.18/468.53
  6. Step 6: Final answer
    x = 371.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.