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Finding the Fourth Proportional to 487.89, 727.33 and 449.01

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Solution

The fourth proportional to 487.89, 727.33 and 449.01 is: 669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.89 : 727.33 = 449.01 : x
  2. Step 2: Convert to fraction form
    487.89/727.33 = 449.01/x
  3. Step 3: Cross multiply
    487.89x = 727.33 × 449.01
  4. Step 4: Simplify right side
    487.89x = 326,578.44
  5. Step 5: Solve for x
    x = 326,578.44/487.89
  6. Step 6: Final answer
    x = 669.37

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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.