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Finding the Fourth Proportional to 486.37, 729.18 and 193.69

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Solution

The fourth proportional to 486.37, 729.18 and 193.69 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.37 : 729.18 = 193.69 : x
  2. Step 2: Convert to fraction form
    486.37/729.18 = 193.69/x
  3. Step 3: Cross multiply
    486.37x = 729.18 × 193.69
  4. Step 4: Simplify right side
    486.37x = 141,234.87
  5. Step 5: Solve for x
    x = 141,234.87/486.37
  6. Step 6: Final answer
    x = 290.39

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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.