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Finding the Fourth Proportional to 343.54, 473.64 and 269.56

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Solution

The fourth proportional to 343.54, 473.64 and 269.56 is: 371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 473.64 = 269.56 : x
  2. Step 2: Convert to fraction form
    343.54/473.64 = 269.56/x
  3. Step 3: Cross multiply
    343.54x = 473.64 × 269.56
  4. Step 4: Simplify right side
    343.54x = 127,674.40
  5. Step 5: Solve for x
    x = 127,674.40/343.54
  6. Step 6: Final answer
    x = 371.64

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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.