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Finding the Fourth Proportional to 606.52, 834.56 and 588.30

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Solution

The fourth proportional to 606.52, 834.56 and 588.30 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.52 : 834.56 = 588.30 : x
  2. Step 2: Convert to fraction form
    606.52/834.56 = 588.30/x
  3. Step 3: Cross multiply
    606.52x = 834.56 × 588.30
  4. Step 4: Simplify right side
    606.52x = 490,971.65
  5. Step 5: Solve for x
    x = 490,971.65/606.52
  6. Step 6: Final answer
    x = 809.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.