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Finding the Fourth Proportional to 964.94, 1,447.41 and 234.51

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Solution

The fourth proportional to 964.94, 1,447.41 and 234.51 is: 351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.94 : 1,447.41 = 234.51 : x
  2. Step 2: Convert to fraction form
    964.94/1,447.41 = 234.51/x
  3. Step 3: Cross multiply
    964.94x = 1,447.41 × 234.51
  4. Step 4: Simplify right side
    964.94x = 339,432.12
  5. Step 5: Solve for x
    x = 339,432.12/964.94
  6. Step 6: Final answer
    x = 351.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.