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Finding the Fourth Proportional to 886.53, 1,329.81 and 309.41

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Solution

The fourth proportional to 886.53, 1,329.81 and 309.41 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.53 : 1,329.81 = 309.41 : x
  2. Step 2: Convert to fraction form
    886.53/1,329.81 = 309.41/x
  3. Step 3: Cross multiply
    886.53x = 1,329.81 × 309.41
  4. Step 4: Simplify right side
    886.53x = 411,456.51
  5. Step 5: Solve for x
    x = 411,456.51/886.53
  6. Step 6: Final answer
    x = 464.12

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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.