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Finding the Fourth Proportional to 359.60, 538.46 and 299.03

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Solution

The fourth proportional to 359.60, 538.46 and 299.03 is: 447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.60 : 538.46 = 299.03 : x
  2. Step 2: Convert to fraction form
    359.60/538.46 = 299.03/x
  3. Step 3: Cross multiply
    359.60x = 538.46 × 299.03
  4. Step 4: Simplify right side
    359.60x = 161,014.20
  5. Step 5: Solve for x
    x = 161,014.20/359.60
  6. Step 6: Final answer
    x = 447.76

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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.