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Finding the Fourth Proportional to 328.90, 453.84 and 189.04

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Solution

The fourth proportional to 328.90, 453.84 and 189.04 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.90 : 453.84 = 189.04 : x
  2. Step 2: Convert to fraction form
    328.90/453.84 = 189.04/x
  3. Step 3: Cross multiply
    328.90x = 453.84 × 189.04
  4. Step 4: Simplify right side
    328.90x = 85,793.91
  5. Step 5: Solve for x
    x = 85,793.91/328.90
  6. Step 6: Final answer
    x = 260.85

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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.