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Finding the Fourth Proportional to 883.75, 1,325.68 and 234.47

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Solution

The fourth proportional to 883.75, 1,325.68 and 234.47 is: 351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.75 : 1,325.68 = 234.47 : x
  2. Step 2: Convert to fraction form
    883.75/1,325.68 = 234.47/x
  3. Step 3: Cross multiply
    883.75x = 1,325.68 × 234.47
  4. Step 4: Simplify right side
    883.75x = 310,832.19
  5. Step 5: Solve for x
    x = 310,832.19/883.75
  6. Step 6: Final answer
    x = 351.72

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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.