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Finding the Fourth Proportional to 449.01, 669.11 and 434.33

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Solution

The fourth proportional to 449.01, 669.11 and 434.33 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.01 : 669.11 = 434.33 : x
  2. Step 2: Convert to fraction form
    449.01/669.11 = 434.33/x
  3. Step 3: Cross multiply
    449.01x = 669.11 × 434.33
  4. Step 4: Simplify right side
    449.01x = 290,613.98
  5. Step 5: Solve for x
    x = 290,613.98/449.01
  6. Step 6: Final answer
    x = 647.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.