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Finding the Fourth Proportional to 606.26, 836.58 and 340.70

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Solution

The fourth proportional to 606.26, 836.58 and 340.70 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.26 : 836.58 = 340.70 : x
  2. Step 2: Convert to fraction form
    606.26/836.58 = 340.70/x
  3. Step 3: Cross multiply
    606.26x = 836.58 × 340.70
  4. Step 4: Simplify right side
    606.26x = 285,022.81
  5. Step 5: Solve for x
    x = 285,022.81/606.26
  6. Step 6: Final answer
    x = 470.13

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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.