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Finding the Fourth Proportional to 393.58, 541.91 and 334.45

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Solution

The fourth proportional to 393.58, 541.91 and 334.45 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.58 : 541.91 = 334.45 : x
  2. Step 2: Convert to fraction form
    393.58/541.91 = 334.45/x
  3. Step 3: Cross multiply
    393.58x = 541.91 × 334.45
  4. Step 4: Simplify right side
    393.58x = 181,238.77
  5. Step 5: Solve for x
    x = 181,238.77/393.58
  6. Step 6: Final answer
    x = 460.49

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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.