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Finding the Fourth Proportional to 341.85, 471.24 and 298.11

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Solution

The fourth proportional to 341.85, 471.24 and 298.11 is: 410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.85 : 471.24 = 298.11 : x
  2. Step 2: Convert to fraction form
    341.85/471.24 = 298.11/x
  3. Step 3: Cross multiply
    341.85x = 471.24 × 298.11
  4. Step 4: Simplify right side
    341.85x = 140,481.36
  5. Step 5: Solve for x
    x = 140,481.36/341.85
  6. Step 6: Final answer
    x = 410.94

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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.