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Finding the Fourth Proportional to 392.60, 541.47 and 274.53

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Solution

The fourth proportional to 392.60, 541.47 and 274.53 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.60 : 541.47 = 274.53 : x
  2. Step 2: Convert to fraction form
    392.60/541.47 = 274.53/x
  3. Step 3: Cross multiply
    392.60x = 541.47 × 274.53
  4. Step 4: Simplify right side
    392.60x = 148,649.76
  5. Step 5: Solve for x
    x = 148,649.76/392.60
  6. Step 6: Final answer
    x = 378.63

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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.