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Finding the Fourth Proportional to 409.28, 611.20 and 385.28

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Solution

The fourth proportional to 409.28, 611.20 and 385.28 is: 575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 611.20 = 385.28 : x
  2. Step 2: Convert to fraction form
    409.28/611.20 = 385.28/x
  3. Step 3: Cross multiply
    409.28x = 611.20 × 385.28
  4. Step 4: Simplify right side
    409.28x = 235,483.14
  5. Step 5: Solve for x
    x = 235,483.14/409.28
  6. Step 6: Final answer
    x = 575.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.