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Finding the Fourth Proportional to 558.27, 837.66 and 284.22

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Solution

The fourth proportional to 558.27, 837.66 and 284.22 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.27 : 837.66 = 284.22 : x
  2. Step 2: Convert to fraction form
    558.27/837.66 = 284.22/x
  3. Step 3: Cross multiply
    558.27x = 837.66 × 284.22
  4. Step 4: Simplify right side
    558.27x = 238,079.73
  5. Step 5: Solve for x
    x = 238,079.73/558.27
  6. Step 6: Final answer
    x = 426.46

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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.