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Finding the Fourth Proportional to 606.36, 834.48 and 589.44

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Solution

The fourth proportional to 606.36, 834.48 and 589.44 is: 811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.36 : 834.48 = 589.44 : x
  2. Step 2: Convert to fraction form
    606.36/834.48 = 589.44/x
  3. Step 3: Cross multiply
    606.36x = 834.48 × 589.44
  4. Step 4: Simplify right side
    606.36x = 491,875.89
  5. Step 5: Solve for x
    x = 491,875.89/606.36
  6. Step 6: Final answer
    x = 811.19

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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.