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Finding the Fourth Proportional to 359.44, 492.44 and 346.48

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Solution

The fourth proportional to 359.44, 492.44 and 346.48 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 492.44 = 346.48 : x
  2. Step 2: Convert to fraction form
    359.44/492.44 = 346.48/x
  3. Step 3: Cross multiply
    359.44x = 492.44 × 346.48
  4. Step 4: Simplify right side
    359.44x = 170,620.61
  5. Step 5: Solve for x
    x = 170,620.61/359.44
  6. Step 6: Final answer
    x = 474.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.