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Finding the Fourth Proportional to 359.56, 496.74 and 315.64

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Solution

The fourth proportional to 359.56, 496.74 and 315.64 is: 436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 496.74 = 315.64 : x
  2. Step 2: Convert to fraction form
    359.56/496.74 = 315.64/x
  3. Step 3: Cross multiply
    359.56x = 496.74 × 315.64
  4. Step 4: Simplify right side
    359.56x = 156,791.01
  5. Step 5: Solve for x
    x = 156,791.01/359.56
  6. Step 6: Final answer
    x = 436.06

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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.