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Finding the Fourth Proportional to 606.54, 837 and 344.46

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Solution

The fourth proportional to 606.54, 837 and 344.46 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.54 : 837 = 344.46 : x
  2. Step 2: Convert to fraction form
    606.54/837 = 344.46/x
  3. Step 3: Cross multiply
    606.54x = 837 × 344.46
  4. Step 4: Simplify right side
    606.54x = 288,313.02
  5. Step 5: Solve for x
    x = 288,313.02/606.54
  6. Step 6: Final answer
    x = 475.34

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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.