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Finding the Fourth Proportional to 589.11, 812.83 and 367.98

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Solution

The fourth proportional to 589.11, 812.83 and 367.98 is: 507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.11 : 812.83 = 367.98 : x
  2. Step 2: Convert to fraction form
    589.11/812.83 = 367.98/x
  3. Step 3: Cross multiply
    589.11x = 812.83 × 367.98
  4. Step 4: Simplify right side
    589.11x = 299,105.18
  5. Step 5: Solve for x
    x = 299,105.18/589.11
  6. Step 6: Final answer
    x = 507.72

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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.