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Finding the Fourth Proportional to 645.65, 968.97 and 234.90

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Solution

The fourth proportional to 645.65, 968.97 and 234.90 is: 352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 968.97 = 234.90 : x
  2. Step 2: Convert to fraction form
    645.65/968.97 = 234.90/x
  3. Step 3: Cross multiply
    645.65x = 968.97 × 234.90
  4. Step 4: Simplify right side
    645.65x = 227,611.05
  5. Step 5: Solve for x
    x = 227,611.05/645.65
  6. Step 6: Final answer
    x = 352.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.