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Finding the Fourth Proportional to 558.40, 837.70 and 193.09

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Solution

The fourth proportional to 558.40, 837.70 and 193.09 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.40 : 837.70 = 193.09 : x
  2. Step 2: Convert to fraction form
    558.40/837.70 = 193.09/x
  3. Step 3: Cross multiply
    558.40x = 837.70 × 193.09
  4. Step 4: Simplify right side
    558.40x = 161,751.57
  5. Step 5: Solve for x
    x = 161,751.57/558.40
  6. Step 6: Final answer
    x = 289.67

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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.