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Finding the Fourth Proportional to 490.37, 675.88 and 342.14

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Solution

The fourth proportional to 490.37, 675.88 and 342.14 is: 471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.37 : 675.88 = 342.14 : x
  2. Step 2: Convert to fraction form
    490.37/675.88 = 342.14/x
  3. Step 3: Cross multiply
    490.37x = 675.88 × 342.14
  4. Step 4: Simplify right side
    490.37x = 231,241.35
  5. Step 5: Solve for x
    x = 231,241.35/490.37
  6. Step 6: Final answer
    x = 471.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.