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Finding the Fourth Proportional to 558.24, 837.39 and 284.27

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Solution

The fourth proportional to 558.24, 837.39 and 284.27 is: 426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.24 : 837.39 = 284.27 : x
  2. Step 2: Convert to fraction form
    558.24/837.39 = 284.27/x
  3. Step 3: Cross multiply
    558.24x = 837.39 × 284.27
  4. Step 4: Simplify right side
    558.24x = 238,040.67
  5. Step 5: Solve for x
    x = 238,040.67/558.24
  6. Step 6: Final answer
    x = 426.41

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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.