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Finding the Fourth Proportional to 645.45, 968.36 and 234.58

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Solution

The fourth proportional to 645.45, 968.36 and 234.58 is: 351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 968.36 = 234.58 : x
  2. Step 2: Convert to fraction form
    645.45/968.36 = 234.58/x
  3. Step 3: Cross multiply
    645.45x = 968.36 × 234.58
  4. Step 4: Simplify right side
    645.45x = 227,151.87
  5. Step 5: Solve for x
    x = 227,151.87/645.45
  6. Step 6: Final answer
    x = 351.93

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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.