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Finding the Fourth Proportional to 885.74, 1,328.81 and 338.78

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Solution

The fourth proportional to 885.74, 1,328.81 and 338.78 is: 508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.74 : 1,328.81 = 338.78 : x
  2. Step 2: Convert to fraction form
    885.74/1,328.81 = 338.78/x
  3. Step 3: Cross multiply
    885.74x = 1,328.81 × 338.78
  4. Step 4: Simplify right side
    885.74x = 450,175.88
  5. Step 5: Solve for x
    x = 450,175.88/885.74
  6. Step 6: Final answer
    x = 508.25

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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.