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Finding the Fourth Proportional to 885.67, 1,328.32 and 365.54

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Solution

The fourth proportional to 885.67, 1,328.32 and 365.54 is: 548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.67 : 1,328.32 = 365.54 : x
  2. Step 2: Convert to fraction form
    885.67/1,328.32 = 365.54/x
  3. Step 3: Cross multiply
    885.67x = 1,328.32 × 365.54
  4. Step 4: Simplify right side
    885.67x = 485,554.09
  5. Step 5: Solve for x
    x = 485,554.09/885.67
  6. Step 6: Final answer
    x = 548.23

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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.