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Finding the Fourth Proportional to 884.62, 1,327.38 and 365

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Solution

The fourth proportional to 884.62, 1,327.38 and 365 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.62 : 1,327.38 = 365 : x
  2. Step 2: Convert to fraction form
    884.62/1,327.38 = 365/x
  3. Step 3: Cross multiply
    884.62x = 1,327.38 × 365
  4. Step 4: Simplify right side
    884.62x = 484,493.70
  5. Step 5: Solve for x
    x = 484,493.70/884.62
  6. Step 6: Final answer
    x = 547.69

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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.