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Finding the Fourth Proportional to 884.49, 1,327.08 and 397.20

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Solution

The fourth proportional to 884.49, 1,327.08 and 397.20 is: 595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.49 : 1,327.08 = 397.20 : x
  2. Step 2: Convert to fraction form
    884.49/1,327.08 = 397.20/x
  3. Step 3: Cross multiply
    884.49x = 1,327.08 × 397.20
  4. Step 4: Simplify right side
    884.49x = 527,122.64
  5. Step 5: Solve for x
    x = 527,122.64/884.49
  6. Step 6: Final answer
    x = 595.96

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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.