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Finding the Fourth Proportional to 343.40, 473.41 and 290.73

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Solution

The fourth proportional to 343.40, 473.41 and 290.73 is: 400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 473.41 = 290.73 : x
  2. Step 2: Convert to fraction form
    343.40/473.41 = 290.73/x
  3. Step 3: Cross multiply
    343.40x = 473.41 × 290.73
  4. Step 4: Simplify right side
    343.40x = 137,633.76
  5. Step 5: Solve for x
    x = 137,633.76/343.40
  6. Step 6: Final answer
    x = 400.80

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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.