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Finding the Fourth Proportional to 358.71, 495.90 and 343.41

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Solution

The fourth proportional to 358.71, 495.90 and 343.41 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.71 : 495.90 = 343.41 : x
  2. Step 2: Convert to fraction form
    358.71/495.90 = 343.41/x
  3. Step 3: Cross multiply
    358.71x = 495.90 × 343.41
  4. Step 4: Simplify right side
    358.71x = 170,297.02
  5. Step 5: Solve for x
    x = 170,297.02/358.71
  6. Step 6: Final answer
    x = 474.75

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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.