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Finding the Fourth Proportional to 558.27, 835.68 and 412.19

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Solution

The fourth proportional to 558.27, 835.68 and 412.19 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.27 : 835.68 = 412.19 : x
  2. Step 2: Convert to fraction form
    558.27/835.68 = 412.19/x
  3. Step 3: Cross multiply
    558.27x = 835.68 × 412.19
  4. Step 4: Simplify right side
    558.27x = 344,458.94
  5. Step 5: Solve for x
    x = 344,458.94/558.27
  6. Step 6: Final answer
    x = 617.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.