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Finding the Fourth Proportional to 421.54, 632.37 and 128.97

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Solution

The fourth proportional to 421.54, 632.37 and 128.97 is: 193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 632.37 = 128.97 : x
  2. Step 2: Convert to fraction form
    421.54/632.37 = 128.97/x
  3. Step 3: Cross multiply
    421.54x = 632.37 × 128.97
  4. Step 4: Simplify right side
    421.54x = 81,556.76
  5. Step 5: Solve for x
    x = 81,556.76/421.54
  6. Step 6: Final answer
    x = 193.48

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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.