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Finding the Fourth Proportional to 344.86, 476.08 and 213.94

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Solution

The fourth proportional to 344.86, 476.08 and 213.94 is: 295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.86 : 476.08 = 213.94 : x
  2. Step 2: Convert to fraction form
    344.86/476.08 = 213.94/x
  3. Step 3: Cross multiply
    344.86x = 476.08 × 213.94
  4. Step 4: Simplify right side
    344.86x = 101,852.62
  5. Step 5: Solve for x
    x = 101,852.62/344.86
  6. Step 6: Final answer
    x = 295.35

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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.