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Finding the Fourth Proportional to 558.75, 771.25 and 411.81

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Solution

The fourth proportional to 558.75, 771.25 and 411.81 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.75 : 771.25 = 411.81 : x
  2. Step 2: Convert to fraction form
    558.75/771.25 = 411.81/x
  3. Step 3: Cross multiply
    558.75x = 771.25 × 411.81
  4. Step 4: Simplify right side
    558.75x = 317,609.36
  5. Step 5: Solve for x
    x = 317,609.36/558.75
  6. Step 6: Final answer
    x = 568.43

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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.