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Finding the Fourth Proportional to 885.91, 1,328.36 and 308.38

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Solution

The fourth proportional to 885.91, 1,328.36 and 308.38 is: 462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.91 : 1,328.36 = 308.38 : x
  2. Step 2: Convert to fraction form
    885.91/1,328.36 = 308.38/x
  3. Step 3: Cross multiply
    885.91x = 1,328.36 × 308.38
  4. Step 4: Simplify right side
    885.91x = 409,634.79
  5. Step 5: Solve for x
    x = 409,634.79/885.91
  6. Step 6: Final answer
    x = 462.39

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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.