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Finding the Fourth Proportional to 642.53, 963.94 and 231.96

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Solution

The fourth proportional to 642.53, 963.94 and 231.96 is: 348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.53 : 963.94 = 231.96 : x
  2. Step 2: Convert to fraction form
    642.53/963.94 = 231.96/x
  3. Step 3: Cross multiply
    642.53x = 963.94 × 231.96
  4. Step 4: Simplify right side
    642.53x = 223,595.52
  5. Step 5: Solve for x
    x = 223,595.52/642.53
  6. Step 6: Final answer
    x = 348.00

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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.