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Finding the Fourth Proportional to 645.88, 968.64 and 333.24

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Solution

The fourth proportional to 645.88, 968.64 and 333.24 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 968.64 = 333.24 : x
  2. Step 2: Convert to fraction form
    645.88/968.64 = 333.24/x
  3. Step 3: Cross multiply
    645.88x = 968.64 × 333.24
  4. Step 4: Simplify right side
    645.88x = 322,789.59
  5. Step 5: Solve for x
    x = 322,789.59/645.88
  6. Step 6: Final answer
    x = 499.77

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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.