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Finding the Fourth Proportional to 389.42, 584.14 and 184.09

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Solution

The fourth proportional to 389.42, 584.14 and 184.09 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.42 : 584.14 = 184.09 : x
  2. Step 2: Convert to fraction form
    389.42/584.14 = 184.09/x
  3. Step 3: Cross multiply
    389.42x = 584.14 × 184.09
  4. Step 4: Simplify right side
    389.42x = 107,532.41
  5. Step 5: Solve for x
    x = 107,532.41/389.42
  6. Step 6: Final answer
    x = 276.13

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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.