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Finding the Fourth Proportional to 343.71, 473.13 and 299.97

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Solution

The fourth proportional to 343.71, 473.13 and 299.97 is: 412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 473.13 = 299.97 : x
  2. Step 2: Convert to fraction form
    343.71/473.13 = 299.97/x
  3. Step 3: Cross multiply
    343.71x = 473.13 × 299.97
  4. Step 4: Simplify right side
    343.71x = 141,924.81
  5. Step 5: Solve for x
    x = 141,924.81/343.71
  6. Step 6: Final answer
    x = 412.92

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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.