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Finding the Fourth Proportional to 421.98, 632.71 and 190.98

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Solution

The fourth proportional to 421.98, 632.71 and 190.98 is: 286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.98 : 632.71 = 190.98 : x
  2. Step 2: Convert to fraction form
    421.98/632.71 = 190.98/x
  3. Step 3: Cross multiply
    421.98x = 632.71 × 190.98
  4. Step 4: Simplify right side
    421.98x = 120,836.97
  5. Step 5: Solve for x
    x = 120,836.97/421.98
  6. Step 6: Final answer
    x = 286.35

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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.