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Finding the Fourth Proportional to 884.36, 1,326.22 and 307.72

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Solution

The fourth proportional to 884.36, 1,326.22 and 307.72 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.36 : 1,326.22 = 307.72 : x
  2. Step 2: Convert to fraction form
    884.36/1,326.22 = 307.72/x
  3. Step 3: Cross multiply
    884.36x = 1,326.22 × 307.72
  4. Step 4: Simplify right side
    884.36x = 408,104.42
  5. Step 5: Solve for x
    x = 408,104.42/884.36
  6. Step 6: Final answer
    x = 461.47

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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.