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Finding the Fourth Proportional to 885.28, 1,327.92 and 307.84

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Solution

The fourth proportional to 885.28, 1,327.92 and 307.84 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.28 : 1,327.92 = 307.84 : x
  2. Step 2: Convert to fraction form
    885.28/1,327.92 = 307.84/x
  3. Step 3: Cross multiply
    885.28x = 1,327.92 × 307.84
  4. Step 4: Simplify right side
    885.28x = 408,786.89
  5. Step 5: Solve for x
    x = 408,786.89/885.28
  6. Step 6: Final answer
    x = 461.76

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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.