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Finding the Fourth Proportional to 645.86, 968.87 and 235.19

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Solution

The fourth proportional to 645.86, 968.87 and 235.19 is: 352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.86 : 968.87 = 235.19 : x
  2. Step 2: Convert to fraction form
    645.86/968.87 = 235.19/x
  3. Step 3: Cross multiply
    645.86x = 968.87 × 235.19
  4. Step 4: Simplify right side
    645.86x = 227,868.54
  5. Step 5: Solve for x
    x = 227,868.54/645.86
  6. Step 6: Final answer
    x = 352.81

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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.