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Finding the Fourth Proportional to 606.64, 837.09 and 344.65

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Solution

The fourth proportional to 606.64, 837.09 and 344.65 is: 475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 837.09 = 344.65 : x
  2. Step 2: Convert to fraction form
    606.64/837.09 = 344.65/x
  3. Step 3: Cross multiply
    606.64x = 837.09 × 344.65
  4. Step 4: Simplify right side
    606.64x = 288,503.07
  5. Step 5: Solve for x
    x = 288,503.07/606.64
  6. Step 6: Final answer
    x = 475.58

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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.