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Finding the Fourth Proportional to 349.80, 482.70 and 200.46

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Solution

The fourth proportional to 349.80, 482.70 and 200.46 is: 276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.80 : 482.70 = 200.46 : x
  2. Step 2: Convert to fraction form
    349.80/482.70 = 200.46/x
  3. Step 3: Cross multiply
    349.80x = 482.70 × 200.46
  4. Step 4: Simplify right side
    349.80x = 96,762.04
  5. Step 5: Solve for x
    x = 96,762.04/349.80
  6. Step 6: Final answer
    x = 276.62

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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.