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Finding the Fourth Proportional to 393.16, 541.86 and 294.88

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Solution

The fourth proportional to 393.16, 541.86 and 294.88 is: 406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 541.86 = 294.88 : x
  2. Step 2: Convert to fraction form
    393.16/541.86 = 294.88/x
  3. Step 3: Cross multiply
    393.16x = 541.86 × 294.88
  4. Step 4: Simplify right side
    393.16x = 159,783.68
  5. Step 5: Solve for x
    x = 159,783.68/393.16
  6. Step 6: Final answer
    x = 406.41

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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.