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Finding the Fourth Proportional to 392.43, 541.62 and 299.02

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Solution

The fourth proportional to 392.43, 541.62 and 299.02 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.43 : 541.62 = 299.02 : x
  2. Step 2: Convert to fraction form
    392.43/541.62 = 299.02/x
  3. Step 3: Cross multiply
    392.43x = 541.62 × 299.02
  4. Step 4: Simplify right side
    392.43x = 161,955.21
  5. Step 5: Solve for x
    x = 161,955.21/392.43
  6. Step 6: Final answer
    x = 412.70

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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.