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Finding the Fourth Proportional to 606.21, 834.15 and 588.16

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Solution

The fourth proportional to 606.21, 834.15 and 588.16 is: 809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.21 : 834.15 = 588.16 : x
  2. Step 2: Convert to fraction form
    606.21/834.15 = 588.16/x
  3. Step 3: Cross multiply
    606.21x = 834.15 × 588.16
  4. Step 4: Simplify right side
    606.21x = 490,613.66
  5. Step 5: Solve for x
    x = 490,613.66/606.21
  6. Step 6: Final answer
    x = 809.31

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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.