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Finding the Fourth Proportional to 389.26, 584.16 and 197.02

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Solution

The fourth proportional to 389.26, 584.16 and 197.02 is: 295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.26 : 584.16 = 197.02 : x
  2. Step 2: Convert to fraction form
    389.26/584.16 = 197.02/x
  3. Step 3: Cross multiply
    389.26x = 584.16 × 197.02
  4. Step 4: Simplify right side
    389.26x = 115,091.20
  5. Step 5: Solve for x
    x = 115,091.20/389.26
  6. Step 6: Final answer
    x = 295.67

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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.