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Finding the Fourth Proportional to 588.69, 811.94 and 367.49

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Solution

The fourth proportional to 588.69, 811.94 and 367.49 is: 506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 811.94 = 367.49 : x
  2. Step 2: Convert to fraction form
    588.69/811.94 = 367.49/x
  3. Step 3: Cross multiply
    588.69x = 811.94 × 367.49
  4. Step 4: Simplify right side
    588.69x = 298,373.93
  5. Step 5: Solve for x
    x = 298,373.93/588.69
  6. Step 6: Final answer
    x = 506.84

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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.