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Finding the Fourth Proportional to 359.45, 496.11 and 210.11

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Solution

The fourth proportional to 359.45, 496.11 and 210.11 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.45 : 496.11 = 210.11 : x
  2. Step 2: Convert to fraction form
    359.45/496.11 = 210.11/x
  3. Step 3: Cross multiply
    359.45x = 496.11 × 210.11
  4. Step 4: Simplify right side
    359.45x = 104,235.98
  5. Step 5: Solve for x
    x = 104,235.98/359.45
  6. Step 6: Final answer
    x = 289.99

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