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Finding the Fourth Proportional to 588.26, 812.22 and 551.05

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Solution

The fourth proportional to 588.26, 812.22 and 551.05 is: 760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 812.22 = 551.05 : x
  2. Step 2: Convert to fraction form
    588.26/812.22 = 551.05/x
  3. Step 3: Cross multiply
    588.26x = 812.22 × 551.05
  4. Step 4: Simplify right side
    588.26x = 447,569.73
  5. Step 5: Solve for x
    x = 447,569.73/588.26
  6. Step 6: Final answer
    x = 760.83

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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.