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Finding the Fourth Proportional to 359.68, 540.16 and 343.68

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Solution

The fourth proportional to 359.68, 540.16 and 343.68 is: 516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.68 : 540.16 = 343.68 : x
  2. Step 2: Convert to fraction form
    359.68/540.16 = 343.68/x
  3. Step 3: Cross multiply
    359.68x = 540.16 × 343.68
  4. Step 4: Simplify right side
    359.68x = 185,642.19
  5. Step 5: Solve for x
    x = 185,642.19/359.68
  6. Step 6: Final answer
    x = 516.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.