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Finding the Fourth Proportional to 392.94, 541.74 and 299.38

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Solution

The fourth proportional to 392.94, 541.74 and 299.38 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.94 : 541.74 = 299.38 : x
  2. Step 2: Convert to fraction form
    392.94/541.74 = 299.38/x
  3. Step 3: Cross multiply
    392.94x = 541.74 × 299.38
  4. Step 4: Simplify right side
    392.94x = 162,186.12
  5. Step 5: Solve for x
    x = 162,186.12/392.94
  6. Step 6: Final answer
    x = 412.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.