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Finding the Fourth Proportional to 886.34, 1,328.47 and 365.75

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Solution

The fourth proportional to 886.34, 1,328.47 and 365.75 is: 548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.34 : 1,328.47 = 365.75 : x
  2. Step 2: Convert to fraction form
    886.34/1,328.47 = 365.75/x
  3. Step 3: Cross multiply
    886.34x = 1,328.47 × 365.75
  4. Step 4: Simplify right side
    886.34x = 485,885.33
  5. Step 5: Solve for x
    x = 485,885.33/886.34
  6. Step 6: Final answer
    x = 548.19

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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.