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Finding the Fourth Proportional to 884.77, 1,327.13 and 307.63

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Solution

The fourth proportional to 884.77, 1,327.13 and 307.63 is: 461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.77 : 1,327.13 = 307.63 : x
  2. Step 2: Convert to fraction form
    884.77/1,327.13 = 307.63/x
  3. Step 3: Cross multiply
    884.77x = 1,327.13 × 307.63
  4. Step 4: Simplify right side
    884.77x = 408,258.37
  5. Step 5: Solve for x
    x = 408,258.37/884.77
  6. Step 6: Final answer
    x = 461.43

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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.