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Finding the Fourth Proportional to 558.81, 837.81 and 234

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Solution

The fourth proportional to 558.81, 837.81 and 234 is: 350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.81 : 837.81 = 234 : x
  2. Step 2: Convert to fraction form
    558.81/837.81 = 234/x
  3. Step 3: Cross multiply
    558.81x = 837.81 × 234
  4. Step 4: Simplify right side
    558.81x = 196,047.54
  5. Step 5: Solve for x
    x = 196,047.54/558.81
  6. Step 6: Final answer
    x = 350.83

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Why These Related Problems?

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