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Finding the Fourth Proportional to 883.60, 1,325.46 and 234.31

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Solution

The fourth proportional to 883.60, 1,325.46 and 234.31 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.60 : 1,325.46 = 234.31 : x
  2. Step 2: Convert to fraction form
    883.60/1,325.46 = 234.31/x
  3. Step 3: Cross multiply
    883.60x = 1,325.46 × 234.31
  4. Step 4: Simplify right side
    883.60x = 310,568.53
  5. Step 5: Solve for x
    x = 310,568.53/883.60
  6. Step 6: Final answer
    x = 351.48

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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.