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Finding the Fourth Proportional to 394, 543.74 and 219.34

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Solution

The fourth proportional to 394, 543.74 and 219.34 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394 : 543.74 = 219.34 : x
  2. Step 2: Convert to fraction form
    394/543.74 = 219.34/x
  3. Step 3: Cross multiply
    394x = 543.74 × 219.34
  4. Step 4: Simplify right side
    394x = 119,265.70
  5. Step 5: Solve for x
    x = 119,265.70/394
  6. Step 6: Final answer
    x = 302.70

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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.