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Finding the Fourth Proportional to 392.17, 541.29 and 287.41

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Solution

The fourth proportional to 392.17, 541.29 and 287.41 is: 396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.17 : 541.29 = 287.41 : x
  2. Step 2: Convert to fraction form
    392.17/541.29 = 287.41/x
  3. Step 3: Cross multiply
    392.17x = 541.29 × 287.41
  4. Step 4: Simplify right side
    392.17x = 155,572.84
  5. Step 5: Solve for x
    x = 155,572.84/392.17
  6. Step 6: Final answer
    x = 396.70

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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.