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Finding the Fourth Proportional to 341.74, 513.06 and 219.61

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Solution

The fourth proportional to 341.74, 513.06 and 219.61 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.74 : 513.06 = 219.61 : x
  2. Step 2: Convert to fraction form
    341.74/513.06 = 219.61/x
  3. Step 3: Cross multiply
    341.74x = 513.06 × 219.61
  4. Step 4: Simplify right side
    341.74x = 112,673.11
  5. Step 5: Solve for x
    x = 112,673.11/341.74
  6. Step 6: Final answer
    x = 329.70

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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.