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Finding the Fourth Proportional to 341.68, 513.02 and 220.58

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Solution

The fourth proportional to 341.68, 513.02 and 220.58 is: 331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 513.02 = 220.58 : x
  2. Step 2: Convert to fraction form
    341.68/513.02 = 220.58/x
  3. Step 3: Cross multiply
    341.68x = 513.02 × 220.58
  4. Step 4: Simplify right side
    341.68x = 113,161.95
  5. Step 5: Solve for x
    x = 113,161.95/341.68
  6. Step 6: Final answer
    x = 331.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.