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Finding the Fourth Proportional to 445.37, 668.97 and 342.30

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Solution

The fourth proportional to 445.37, 668.97 and 342.30 is: 514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.37 : 668.97 = 342.30 : x
  2. Step 2: Convert to fraction form
    445.37/668.97 = 342.30/x
  3. Step 3: Cross multiply
    445.37x = 668.97 × 342.30
  4. Step 4: Simplify right side
    445.37x = 228,988.43
  5. Step 5: Solve for x
    x = 228,988.43/445.37
  6. Step 6: Final answer
    x = 514.15

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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.