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Finding the Fourth Proportional to 449.22, 669.33 and 400.71

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Solution

The fourth proportional to 449.22, 669.33 and 400.71 is: 597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.22 : 669.33 = 400.71 : x
  2. Step 2: Convert to fraction form
    449.22/669.33 = 400.71/x
  3. Step 3: Cross multiply
    449.22x = 669.33 × 400.71
  4. Step 4: Simplify right side
    449.22x = 268,207.22
  5. Step 5: Solve for x
    x = 268,207.22/449.22
  6. Step 6: Final answer
    x = 597.05

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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.