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Finding the Fourth Proportional to 663.14, 995.16 and 419.42

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Solution

The fourth proportional to 663.14, 995.16 and 419.42 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.14 : 995.16 = 419.42 : x
  2. Step 2: Convert to fraction form
    663.14/995.16 = 419.42/x
  3. Step 3: Cross multiply
    663.14x = 995.16 × 419.42
  4. Step 4: Simplify right side
    663.14x = 417,390.01
  5. Step 5: Solve for x
    x = 417,390.01/663.14
  6. Step 6: Final answer
    x = 629.41

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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.