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Finding the Fourth Proportional to 645.98, 968.39 and 235.02

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Solution

The fourth proportional to 645.98, 968.39 and 235.02 is: 352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 968.39 = 235.02 : x
  2. Step 2: Convert to fraction form
    645.98/968.39 = 235.02/x
  3. Step 3: Cross multiply
    645.98x = 968.39 × 235.02
  4. Step 4: Simplify right side
    645.98x = 227,594.36
  5. Step 5: Solve for x
    x = 227,594.36/645.98
  6. Step 6: Final answer
    x = 352.33

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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.