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Finding the Fourth Proportional to 390.40, 539.04 and 274.12

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Solution

The fourth proportional to 390.40, 539.04 and 274.12 is: 378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 539.04 = 274.12 : x
  2. Step 2: Convert to fraction form
    390.40/539.04 = 274.12/x
  3. Step 3: Cross multiply
    390.40x = 539.04 × 274.12
  4. Step 4: Simplify right side
    390.40x = 147,761.64
  5. Step 5: Solve for x
    x = 147,761.64/390.40
  6. Step 6: Final answer
    x = 378.49

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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.