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Finding the Fourth Proportional to 884.74, 1,327.47 and 307.66

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Solution

The fourth proportional to 884.74, 1,327.47 and 307.66 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.74 : 1,327.47 = 307.66 : x
  2. Step 2: Convert to fraction form
    884.74/1,327.47 = 307.66/x
  3. Step 3: Cross multiply
    884.74x = 1,327.47 × 307.66
  4. Step 4: Simplify right side
    884.74x = 408,409.42
  5. Step 5: Solve for x
    x = 408,409.42/884.74
  6. Step 6: Final answer
    x = 461.62

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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.