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Finding the Fourth Proportional to 588.41, 811.59 and 367.28

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Solution

The fourth proportional to 588.41, 811.59 and 367.28 is: 506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.41 : 811.59 = 367.28 : x
  2. Step 2: Convert to fraction form
    588.41/811.59 = 367.28/x
  3. Step 3: Cross multiply
    588.41x = 811.59 × 367.28
  4. Step 4: Simplify right side
    588.41x = 298,076.72
  5. Step 5: Solve for x
    x = 298,076.72/588.41
  6. Step 6: Final answer
    x = 506.58

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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.