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Finding the Fourth Proportional to 378.06, 521.46 and 246.84

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Solution

The fourth proportional to 378.06, 521.46 and 246.84 is: 340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 521.46 = 246.84 : x
  2. Step 2: Convert to fraction form
    378.06/521.46 = 246.84/x
  3. Step 3: Cross multiply
    378.06x = 521.46 × 246.84
  4. Step 4: Simplify right side
    378.06x = 128,717.19
  5. Step 5: Solve for x
    x = 128,717.19/378.06
  6. Step 6: Final answer
    x = 340.47

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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.