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Finding the Fourth Proportional to 298.08, 409.86 and 254.34

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Solution

The fourth proportional to 298.08, 409.86 and 254.34 is: 349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 409.86 = 254.34 : x
  2. Step 2: Convert to fraction form
    298.08/409.86 = 254.34/x
  3. Step 3: Cross multiply
    298.08x = 409.86 × 254.34
  4. Step 4: Simplify right side
    298.08x = 104,243.79
  5. Step 5: Solve for x
    x = 104,243.79/298.08
  6. Step 6: Final answer
    x = 349.72

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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.