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Finding the Fourth Proportional to 344.86, 476.27 and 295.45

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Solution

The fourth proportional to 344.86, 476.27 and 295.45 is: 408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.86 : 476.27 = 295.45 : x
  2. Step 2: Convert to fraction form
    344.86/476.27 = 295.45/x
  3. Step 3: Cross multiply
    344.86x = 476.27 × 295.45
  4. Step 4: Simplify right side
    344.86x = 140,712.49
  5. Step 5: Solve for x
    x = 140,712.49/344.86
  6. Step 6: Final answer
    x = 408.03

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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.