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Finding the Fourth Proportional to 343.84, 473.94 and 269.02

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Solution

The fourth proportional to 343.84, 473.94 and 269.02 is: 370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 473.94 = 269.02 : x
  2. Step 2: Convert to fraction form
    343.84/473.94 = 269.02/x
  3. Step 3: Cross multiply
    343.84x = 473.94 × 269.02
  4. Step 4: Simplify right side
    343.84x = 127,498.83
  5. Step 5: Solve for x
    x = 127,498.83/343.84
  6. Step 6: Final answer
    x = 370.81

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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.