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Finding the Fourth Proportional to 886.89, 1,329.88 and 309.63

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Solution

The fourth proportional to 886.89, 1,329.88 and 309.63 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.89 : 1,329.88 = 309.63 : x
  2. Step 2: Convert to fraction form
    886.89/1,329.88 = 309.63/x
  3. Step 3: Cross multiply
    886.89x = 1,329.88 × 309.63
  4. Step 4: Simplify right side
    886.89x = 411,769.20
  5. Step 5: Solve for x
    x = 411,769.20/886.89
  6. Step 6: Final answer
    x = 464.28

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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.