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Finding the Fourth Proportional to 885.34, 1,327.92 and 365.23

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Solution

The fourth proportional to 885.34, 1,327.92 and 365.23 is: 547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.34 : 1,327.92 = 365.23 : x
  2. Step 2: Convert to fraction form
    885.34/1,327.92 = 365.23/x
  3. Step 3: Cross multiply
    885.34x = 1,327.92 × 365.23
  4. Step 4: Simplify right side
    885.34x = 484,996.22
  5. Step 5: Solve for x
    x = 484,996.22/885.34
  6. Step 6: Final answer
    x = 547.81

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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.