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Finding the Fourth Proportional to 359.70, 498.92 and 350.22

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Solution

The fourth proportional to 359.70, 498.92 and 350.22 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 498.92 = 350.22 : x
  2. Step 2: Convert to fraction form
    359.70/498.92 = 350.22/x
  3. Step 3: Cross multiply
    359.70x = 498.92 × 350.22
  4. Step 4: Simplify right side
    359.70x = 174,731.76
  5. Step 5: Solve for x
    x = 174,731.76/359.70
  6. Step 6: Final answer
    x = 485.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.