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Finding the Fourth Proportional to 872.31, 1,308.62 and 385.35

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Solution

The fourth proportional to 872.31, 1,308.62 and 385.35 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.31 : 1,308.62 = 385.35 : x
  2. Step 2: Convert to fraction form
    872.31/1,308.62 = 385.35/x
  3. Step 3: Cross multiply
    872.31x = 1,308.62 × 385.35
  4. Step 4: Simplify right side
    872.31x = 504,276.72
  5. Step 5: Solve for x
    x = 504,276.72/872.31
  6. Step 6: Final answer
    x = 578.09

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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.