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Finding the Fourth Proportional to 588.57, 812.00 and 367.14

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Solution

The fourth proportional to 588.57, 812.00 and 367.14 is: 506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 812.00 = 367.14 : x
  2. Step 2: Convert to fraction form
    588.57/812.00 = 367.14/x
  3. Step 3: Cross multiply
    588.57x = 812.00 × 367.14
  4. Step 4: Simplify right side
    588.57x = 298,115.84
  5. Step 5: Solve for x
    x = 298,115.84/588.57
  6. Step 6: Final answer
    x = 506.51

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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.