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Finding the Fourth Proportional to 642.31, 962.43 and 333.70

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Solution

The fourth proportional to 642.31, 962.43 and 333.70 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.31 : 962.43 = 333.70 : x
  2. Step 2: Convert to fraction form
    642.31/962.43 = 333.70/x
  3. Step 3: Cross multiply
    642.31x = 962.43 × 333.70
  4. Step 4: Simplify right side
    642.31x = 321,162.89
  5. Step 5: Solve for x
    x = 321,162.89/642.31
  6. Step 6: Final answer
    x = 500.01

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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.