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Finding the Fourth Proportional to 538.70, 807.65 and 196.46

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Solution

The fourth proportional to 538.70, 807.65 and 196.46 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.70 : 807.65 = 196.46 : x
  2. Step 2: Convert to fraction form
    538.70/807.65 = 196.46/x
  3. Step 3: Cross multiply
    538.70x = 807.65 × 196.46
  4. Step 4: Simplify right side
    538.70x = 158,670.92
  5. Step 5: Solve for x
    x = 158,670.92/538.70
  6. Step 6: Final answer
    x = 294.54

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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.