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Finding the Fourth Proportional to 885.47, 1,327.80 and 269.04

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Solution

The fourth proportional to 885.47, 1,327.80 and 269.04 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.47 : 1,327.80 = 269.04 : x
  2. Step 2: Convert to fraction form
    885.47/1,327.80 = 269.04/x
  3. Step 3: Cross multiply
    885.47x = 1,327.80 × 269.04
  4. Step 4: Simplify right side
    885.47x = 357,231.31
  5. Step 5: Solve for x
    x = 357,231.31/885.47
  6. Step 6: Final answer
    x = 403.44

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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.