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Finding the Fourth Proportional to 477.48, 655.74 and 443.64

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Solution

The fourth proportional to 477.48, 655.74 and 443.64 is: 609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 655.74 = 443.64 : x
  2. Step 2: Convert to fraction form
    477.48/655.74 = 443.64/x
  3. Step 3: Cross multiply
    477.48x = 655.74 × 443.64
  4. Step 4: Simplify right side
    477.48x = 290,912.49
  5. Step 5: Solve for x
    x = 290,912.49/477.48
  6. Step 6: Final answer
    x = 609.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.