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Finding the Fourth Proportional to 558.11, 836.42 and 461.23

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Solution

The fourth proportional to 558.11, 836.42 and 461.23 is: 691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.11 : 836.42 = 461.23 : x
  2. Step 2: Convert to fraction form
    558.11/836.42 = 461.23/x
  3. Step 3: Cross multiply
    558.11x = 836.42 × 461.23
  4. Step 4: Simplify right side
    558.11x = 385,777.60
  5. Step 5: Solve for x
    x = 385,777.60/558.11
  6. Step 6: Final answer
    x = 691.22

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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.