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Finding the Fourth Proportional to 642.06, 962.06 and 333.45

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Solution

The fourth proportional to 642.06, 962.06 and 333.45 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 962.06 = 333.45 : x
  2. Step 2: Convert to fraction form
    642.06/962.06 = 333.45/x
  3. Step 3: Cross multiply
    642.06x = 962.06 × 333.45
  4. Step 4: Simplify right side
    642.06x = 320,797.24
  5. Step 5: Solve for x
    x = 320,797.24/642.06
  6. Step 6: Final answer
    x = 499.64

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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.