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Finding the Fourth Proportional to 393.36, 541.80 and 299.20

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Solution

The fourth proportional to 393.36, 541.80 and 299.20 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.36 : 541.80 = 299.20 : x
  2. Step 2: Convert to fraction form
    393.36/541.80 = 299.20/x
  3. Step 3: Cross multiply
    393.36x = 541.80 × 299.20
  4. Step 4: Simplify right side
    393.36x = 162,106.56
  5. Step 5: Solve for x
    x = 162,106.56/393.36
  6. Step 6: Final answer
    x = 412.11

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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.