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Finding the Fourth Proportional to 645.71, 968.31 and 299.22

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Solution

The fourth proportional to 645.71, 968.31 and 299.22 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 968.31 = 299.22 : x
  2. Step 2: Convert to fraction form
    645.71/968.31 = 299.22/x
  3. Step 3: Cross multiply
    645.71x = 968.31 × 299.22
  4. Step 4: Simplify right side
    645.71x = 289,737.72
  5. Step 5: Solve for x
    x = 289,737.72/645.71
  6. Step 6: Final answer
    x = 448.71

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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.