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Finding the Fourth Proportional to 359.05, 537.63 and 310.24

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Solution

The fourth proportional to 359.05, 537.63 and 310.24 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.05 : 537.63 = 310.24 : x
  2. Step 2: Convert to fraction form
    359.05/537.63 = 310.24/x
  3. Step 3: Cross multiply
    359.05x = 537.63 × 310.24
  4. Step 4: Simplify right side
    359.05x = 166,794.33
  5. Step 5: Solve for x
    x = 166,794.33/359.05
  6. Step 6: Final answer
    x = 464.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.