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Finding the Fourth Proportional to 884.91, 1,326.85 and 365.27

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Solution

The fourth proportional to 884.91, 1,326.85 and 365.27 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.91 : 1,326.85 = 365.27 : x
  2. Step 2: Convert to fraction form
    884.91/1,326.85 = 365.27/x
  3. Step 3: Cross multiply
    884.91x = 1,326.85 × 365.27
  4. Step 4: Simplify right side
    884.91x = 484,658.50
  5. Step 5: Solve for x
    x = 484,658.50/884.91
  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.