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Finding the Fourth Proportional to 645.90, 890.67 and 449.34

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Solution

The fourth proportional to 645.90, 890.67 and 449.34 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 890.67 = 449.34 : x
  2. Step 2: Convert to fraction form
    645.90/890.67 = 449.34/x
  3. Step 3: Cross multiply
    645.90x = 890.67 × 449.34
  4. Step 4: Simplify right side
    645.90x = 400,213.66
  5. Step 5: Solve for x
    x = 400,213.66/645.90
  6. Step 6: Final answer
    x = 619.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.