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Finding the Fourth Proportional to 389.09, 582.67 and 285.65

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Solution

The fourth proportional to 389.09, 582.67 and 285.65 is: 427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.09 : 582.67 = 285.65 : x
  2. Step 2: Convert to fraction form
    389.09/582.67 = 285.65/x
  3. Step 3: Cross multiply
    389.09x = 582.67 × 285.65
  4. Step 4: Simplify right side
    389.09x = 166,439.69
  5. Step 5: Solve for x
    x = 166,439.69/389.09
  6. Step 6: Final answer
    x = 427.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.