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Finding the Fourth Proportional to 588.52, 812.26 and 367.56

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Solution

The fourth proportional to 588.52, 812.26 and 367.56 is: 507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.26 = 367.56 : x
  2. Step 2: Convert to fraction form
    588.52/812.26 = 367.56/x
  3. Step 3: Cross multiply
    588.52x = 812.26 × 367.56
  4. Step 4: Simplify right side
    588.52x = 298,554.29
  5. Step 5: Solve for x
    x = 298,554.29/588.52
  6. Step 6: Final answer
    x = 507.30

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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.