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Finding the Fourth Proportional to 885.23, 1,327.86 and 268.94

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Solution

The fourth proportional to 885.23, 1,327.86 and 268.94 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.23 : 1,327.86 = 268.94 : x
  2. Step 2: Convert to fraction form
    885.23/1,327.86 = 268.94/x
  3. Step 3: Cross multiply
    885.23x = 1,327.86 × 268.94
  4. Step 4: Simplify right side
    885.23x = 357,116.98
  5. Step 5: Solve for x
    x = 357,116.98/885.23
  6. Step 6: Final answer
    x = 403.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.