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Finding the Fourth Proportional to 884.44, 1,327.27 and 307.32

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Solution

The fourth proportional to 884.44, 1,327.27 and 307.32 is: 461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.44 : 1,327.27 = 307.32 : x
  2. Step 2: Convert to fraction form
    884.44/1,327.27 = 307.32/x
  3. Step 3: Cross multiply
    884.44x = 1,327.27 × 307.32
  4. Step 4: Simplify right side
    884.44x = 407,888.44
  5. Step 5: Solve for x
    x = 407,888.44/884.44
  6. Step 6: Final answer
    x = 461.18

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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.