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Finding the Fourth Proportional to 359.60, 496.04 and 242.96

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Solution

The fourth proportional to 359.60, 496.04 and 242.96 is: 335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.60 : 496.04 = 242.96 : x
  2. Step 2: Convert to fraction form
    359.60/496.04 = 242.96/x
  3. Step 3: Cross multiply
    359.60x = 496.04 × 242.96
  4. Step 4: Simplify right side
    359.60x = 120,517.88
  5. Step 5: Solve for x
    x = 120,517.88/359.60
  6. Step 6: Final answer
    x = 335.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.