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Finding the Fourth Proportional to 358.74, 495.09 and 300.42

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Solution

The fourth proportional to 358.74, 495.09 and 300.42 is: 414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.74 : 495.09 = 300.42 : x
  2. Step 2: Convert to fraction form
    358.74/495.09 = 300.42/x
  3. Step 3: Cross multiply
    358.74x = 495.09 × 300.42
  4. Step 4: Simplify right side
    358.74x = 148,734.94
  5. Step 5: Solve for x
    x = 148,734.94/358.74
  6. Step 6: Final answer
    x = 414.60

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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.