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Finding the Fourth Proportional to 588.94, 812.79 and 367.96

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Solution

The fourth proportional to 588.94, 812.79 and 367.96 is: 507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 812.79 = 367.96 : x
  2. Step 2: Convert to fraction form
    588.94/812.79 = 367.96/x
  3. Step 3: Cross multiply
    588.94x = 812.79 × 367.96
  4. Step 4: Simplify right side
    588.94x = 299,074.21
  5. Step 5: Solve for x
    x = 299,074.21/588.94
  6. Step 6: Final answer
    x = 507.82

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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.