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Finding the Fourth Proportional to 395.78, 590.73 and 349.66

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Solution

The fourth proportional to 395.78, 590.73 and 349.66 is: 521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 590.73 = 349.66 : x
  2. Step 2: Convert to fraction form
    395.78/590.73 = 349.66/x
  3. Step 3: Cross multiply
    395.78x = 590.73 × 349.66
  4. Step 4: Simplify right side
    395.78x = 206,554.65
  5. Step 5: Solve for x
    x = 206,554.65/395.78
  6. Step 6: Final answer
    x = 521.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.