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Finding the Fourth Proportional to 588.20, 811.48 and 367.24

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Solution

The fourth proportional to 588.20, 811.48 and 367.24 is: 506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 811.48 = 367.24 : x
  2. Step 2: Convert to fraction form
    588.20/811.48 = 367.24/x
  3. Step 3: Cross multiply
    588.20x = 811.48 × 367.24
  4. Step 4: Simplify right side
    588.20x = 298,007.92
  5. Step 5: Solve for x
    x = 298,007.92/588.20
  6. Step 6: Final answer
    x = 506.64

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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.