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Finding the Fourth Proportional to 341.76, 471.42 and 298.20

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Solution

The fourth proportional to 341.76, 471.42 and 298.20 is: 411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.76 : 471.42 = 298.20 : x
  2. Step 2: Convert to fraction form
    341.76/471.42 = 298.20/x
  3. Step 3: Cross multiply
    341.76x = 471.42 × 298.20
  4. Step 4: Simplify right side
    341.76x = 140,577.44
  5. Step 5: Solve for x
    x = 140,577.44/341.76
  6. Step 6: Final answer
    x = 411.33

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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.