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Finding the Fourth Proportional to 645.88, 969.34 and 299.60

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Solution

The fourth proportional to 645.88, 969.34 and 299.60 is: 449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 969.34 = 299.60 : x
  2. Step 2: Convert to fraction form
    645.88/969.34 = 299.60/x
  3. Step 3: Cross multiply
    645.88x = 969.34 × 299.60
  4. Step 4: Simplify right side
    645.88x = 290,414.26
  5. Step 5: Solve for x
    x = 290,414.26/645.88
  6. Step 6: Final answer
    x = 449.64

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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.