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Finding the Fourth Proportional to 886.42, 1,330.22 and 309.29

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Solution

The fourth proportional to 886.42, 1,330.22 and 309.29 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.42 : 1,330.22 = 309.29 : x
  2. Step 2: Convert to fraction form
    886.42/1,330.22 = 309.29/x
  3. Step 3: Cross multiply
    886.42x = 1,330.22 × 309.29
  4. Step 4: Simplify right side
    886.42x = 411,429.09
  5. Step 5: Solve for x
    x = 411,429.09/886.42
  6. Step 6: Final answer
    x = 464.15

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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.