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Finding the Fourth Proportional to 401.46, 602.38 and 196.24

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Solution

The fourth proportional to 401.46, 602.38 and 196.24 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.46 : 602.38 = 196.24 : x
  2. Step 2: Convert to fraction form
    401.46/602.38 = 196.24/x
  3. Step 3: Cross multiply
    401.46x = 602.38 × 196.24
  4. Step 4: Simplify right side
    401.46x = 118,211.05
  5. Step 5: Solve for x
    x = 118,211.05/401.46
  6. Step 6: Final answer
    x = 294.45

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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.