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Finding the Fourth Proportional to 298.60, 410.94 and 271

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Solution

The fourth proportional to 298.60, 410.94 and 271 is: 372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 410.94 = 271 : x
  2. Step 2: Convert to fraction form
    298.60/410.94 = 271/x
  3. Step 3: Cross multiply
    298.60x = 410.94 × 271
  4. Step 4: Simplify right side
    298.60x = 111,364.74
  5. Step 5: Solve for x
    x = 111,364.74/298.60
  6. Step 6: Final answer
    x = 372.96

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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.