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Finding the Fourth Proportional to 341.36, 471.20 and 217.02

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Solution

The fourth proportional to 341.36, 471.20 and 217.02 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.36 : 471.20 = 217.02 : x
  2. Step 2: Convert to fraction form
    341.36/471.20 = 217.02/x
  3. Step 3: Cross multiply
    341.36x = 471.20 × 217.02
  4. Step 4: Simplify right side
    341.36x = 102,258.74
  5. Step 5: Solve for x
    x = 102,258.74/341.36
  6. Step 6: Final answer
    x = 299.57

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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.