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Finding the Fourth Proportional to 359.68, 496.16 and 294.48

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Solution

The fourth proportional to 359.68, 496.16 and 294.48 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.68 : 496.16 = 294.48 : x
  2. Step 2: Convert to fraction form
    359.68/496.16 = 294.48/x
  3. Step 3: Cross multiply
    359.68x = 496.16 × 294.48
  4. Step 4: Simplify right side
    359.68x = 146,109.20
  5. Step 5: Solve for x
    x = 146,109.20/359.68
  6. Step 6: Final answer
    x = 406.22

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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.