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Finding the Fourth Proportional to 359.76, 496.46 and 204.50

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Solution

The fourth proportional to 359.76, 496.46 and 204.50 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.76 : 496.46 = 204.50 : x
  2. Step 2: Convert to fraction form
    359.76/496.46 = 204.50/x
  3. Step 3: Cross multiply
    359.76x = 496.46 × 204.50
  4. Step 4: Simplify right side
    359.76x = 101,526.07
  5. Step 5: Solve for x
    x = 101,526.07/359.76
  6. Step 6: Final answer
    x = 282.20

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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.