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Finding the Fourth Proportional to 548.24, 757.44 and 430.64

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Solution

The fourth proportional to 548.24, 757.44 and 430.64 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 757.44 = 430.64 : x
  2. Step 2: Convert to fraction form
    548.24/757.44 = 430.64/x
  3. Step 3: Cross multiply
    548.24x = 757.44 × 430.64
  4. Step 4: Simplify right side
    548.24x = 326,183.96
  5. Step 5: Solve for x
    x = 326,183.96/548.24
  6. Step 6: Final answer
    x = 594.97

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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.