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Finding the Fourth Proportional to 392.69, 541.93 and 226.91

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Solution

The fourth proportional to 392.69, 541.93 and 226.91 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.69 : 541.93 = 226.91 : x
  2. Step 2: Convert to fraction form
    392.69/541.93 = 226.91/x
  3. Step 3: Cross multiply
    392.69x = 541.93 × 226.91
  4. Step 4: Simplify right side
    392.69x = 122,966.63
  5. Step 5: Solve for x
    x = 122,966.63/392.69
  6. Step 6: Final answer
    x = 313.14

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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.