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Finding the Fourth Proportional to 558.81, 771.19 and 419.22

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Solution

The fourth proportional to 558.81, 771.19 and 419.22 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.81 : 771.19 = 419.22 : x
  2. Step 2: Convert to fraction form
    558.81/771.19 = 419.22/x
  3. Step 3: Cross multiply
    558.81x = 771.19 × 419.22
  4. Step 4: Simplify right side
    558.81x = 323,297.22
  5. Step 5: Solve for x
    x = 323,297.22/558.81
  6. Step 6: Final answer
    x = 578.55

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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.