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Finding the Fourth Proportional to 359.99, 496.71 and 220.13

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Solution

The fourth proportional to 359.99, 496.71 and 220.13 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.99 : 496.71 = 220.13 : x
  2. Step 2: Convert to fraction form
    359.99/496.71 = 220.13/x
  3. Step 3: Cross multiply
    359.99x = 496.71 × 220.13
  4. Step 4: Simplify right side
    359.99x = 109,342.01
  5. Step 5: Solve for x
    x = 109,342.01/359.99
  6. Step 6: Final answer
    x = 303.74

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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.