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Finding the Fourth Proportional to 886.52, 1,329.75 and 309.38

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Solution

The fourth proportional to 886.52, 1,329.75 and 309.38 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.52 : 1,329.75 = 309.38 : x
  2. Step 2: Convert to fraction form
    886.52/1,329.75 = 309.38/x
  3. Step 3: Cross multiply
    886.52x = 1,329.75 × 309.38
  4. Step 4: Simplify right side
    886.52x = 411,398.06
  5. Step 5: Solve for x
    x = 411,398.06/886.52
  6. Step 6: Final answer
    x = 464.06

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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.