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Finding the Fourth Proportional to 328.46, 452.98 and 221.92

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Solution

The fourth proportional to 328.46, 452.98 and 221.92 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.46 : 452.98 = 221.92 : x
  2. Step 2: Convert to fraction form
    328.46/452.98 = 221.92/x
  3. Step 3: Cross multiply
    328.46x = 452.98 × 221.92
  4. Step 4: Simplify right side
    328.46x = 100,525.32
  5. Step 5: Solve for x
    x = 100,525.32/328.46
  6. Step 6: Final answer
    x = 306.05

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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.