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Finding the Fourth Proportional to 358.40, 494.42 and 309.26

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Solution

The fourth proportional to 358.40, 494.42 and 309.26 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.40 : 494.42 = 309.26 : x
  2. Step 2: Convert to fraction form
    358.40/494.42 = 309.26/x
  3. Step 3: Cross multiply
    358.40x = 494.42 × 309.26
  4. Step 4: Simplify right side
    358.40x = 152,904.33
  5. Step 5: Solve for x
    x = 152,904.33/358.40
  6. Step 6: Final answer
    x = 426.63

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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.