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Finding the Fourth Proportional to 359.40, 498.27 and 343.20

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Solution

The fourth proportional to 359.40, 498.27 and 343.20 is: 475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.40 : 498.27 = 343.20 : x
  2. Step 2: Convert to fraction form
    359.40/498.27 = 343.20/x
  3. Step 3: Cross multiply
    359.40x = 498.27 × 343.20
  4. Step 4: Simplify right side
    359.40x = 171,006.26
  5. Step 5: Solve for x
    x = 171,006.26/359.40
  6. Step 6: Final answer
    x = 475.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.