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Finding the Fourth Proportional to 642.66, 963.75 and 231.68

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Solution

The fourth proportional to 642.66, 963.75 and 231.68 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.66 : 963.75 = 231.68 : x
  2. Step 2: Convert to fraction form
    642.66/963.75 = 231.68/x
  3. Step 3: Cross multiply
    642.66x = 963.75 × 231.68
  4. Step 4: Simplify right side
    642.66x = 223,281.60
  5. Step 5: Solve for x
    x = 223,281.60/642.66
  6. Step 6: Final answer
    x = 347.43

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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.