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Finding the Fourth Proportional to 884.60, 1,327.16 and 307.52

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Solution

The fourth proportional to 884.60, 1,327.16 and 307.52 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.60 : 1,327.16 = 307.52 : x
  2. Step 2: Convert to fraction form
    884.60/1,327.16 = 307.52/x
  3. Step 3: Cross multiply
    884.60x = 1,327.16 × 307.52
  4. Step 4: Simplify right side
    884.60x = 408,128.24
  5. Step 5: Solve for x
    x = 408,128.24/884.60
  6. Step 6: Final answer
    x = 461.37

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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.