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Finding the Fourth Proportional to 588.72, 811.80 and 367.59

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Solution

The fourth proportional to 588.72, 811.80 and 367.59 is: 506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.72 : 811.80 = 367.59 : x
  2. Step 2: Convert to fraction form
    588.72/811.80 = 367.59/x
  3. Step 3: Cross multiply
    588.72x = 811.80 × 367.59
  4. Step 4: Simplify right side
    588.72x = 298,409.56
  5. Step 5: Solve for x
    x = 298,409.56/588.72
  6. Step 6: Final answer
    x = 506.88

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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.