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Finding the Fourth Proportional to 371.97, 514.08 and 288.99

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Solution

The fourth proportional to 371.97, 514.08 and 288.99 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.97 : 514.08 = 288.99 : x
  2. Step 2: Convert to fraction form
    371.97/514.08 = 288.99/x
  3. Step 3: Cross multiply
    371.97x = 514.08 × 288.99
  4. Step 4: Simplify right side
    371.97x = 148,563.98
  5. Step 5: Solve for x
    x = 148,563.98/371.97
  6. Step 6: Final answer
    x = 399.40

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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.