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Finding the Fourth Proportional to 557.72, 769.28 and 447.45

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Solution

The fourth proportional to 557.72, 769.28 and 447.45 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 769.28 = 447.45 : x
  2. Step 2: Convert to fraction form
    557.72/769.28 = 447.45/x
  3. Step 3: Cross multiply
    557.72x = 769.28 × 447.45
  4. Step 4: Simplify right side
    557.72x = 344,215.45
  5. Step 5: Solve for x
    x = 344,215.45/557.72
  6. Step 6: Final answer
    x = 617.19

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