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Finding the Fourth Proportional to 359.17, 494.74 and 254.07

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Solution

The fourth proportional to 359.17, 494.74 and 254.07 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.17 : 494.74 = 254.07 : x
  2. Step 2: Convert to fraction form
    359.17/494.74 = 254.07/x
  3. Step 3: Cross multiply
    359.17x = 494.74 × 254.07
  4. Step 4: Simplify right side
    359.17x = 125,698.59
  5. Step 5: Solve for x
    x = 125,698.59/359.17
  6. Step 6: Final answer
    x = 349.97

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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.