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Finding the Fourth Proportional to 421.36, 632 and 201.94

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Solution

The fourth proportional to 421.36, 632 and 201.94 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.36 : 632 = 201.94 : x
  2. Step 2: Convert to fraction form
    421.36/632 = 201.94/x
  3. Step 3: Cross multiply
    421.36x = 632 × 201.94
  4. Step 4: Simplify right side
    421.36x = 127,626.08
  5. Step 5: Solve for x
    x = 127,626.08/421.36
  6. Step 6: Final answer
    x = 302.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.