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Finding the Fourth Proportional to 357.21, 492.81 and 232.98

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Solution

The fourth proportional to 357.21, 492.81 and 232.98 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 492.81 = 232.98 : x
  2. Step 2: Convert to fraction form
    357.21/492.81 = 232.98/x
  3. Step 3: Cross multiply
    357.21x = 492.81 × 232.98
  4. Step 4: Simplify right side
    357.21x = 114,814.87
  5. Step 5: Solve for x
    x = 114,814.87/357.21
  6. Step 6: Final answer
    x = 321.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.