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Finding the Fourth Proportional to 389.81, 582.00 and 350.93

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Solution

The fourth proportional to 389.81, 582.00 and 350.93 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 582.00 = 350.93 : x
  2. Step 2: Convert to fraction form
    389.81/582.00 = 350.93/x
  3. Step 3: Cross multiply
    389.81x = 582.00 × 350.93
  4. Step 4: Simplify right side
    389.81x = 204,236.60
  5. Step 5: Solve for x
    x = 204,236.60/389.81
  6. Step 6: Final answer
    x = 523.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.