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Finding the Fourth Proportional to 389.60, 584.76 and 184.28

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Solution

The fourth proportional to 389.60, 584.76 and 184.28 is: 276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 584.76 = 184.28 : x
  2. Step 2: Convert to fraction form
    389.60/584.76 = 184.28/x
  3. Step 3: Cross multiply
    389.60x = 584.76 × 184.28
  4. Step 4: Simplify right side
    389.60x = 107,759.57
  5. Step 5: Solve for x
    x = 107,759.57/389.60
  6. Step 6: Final answer
    x = 276.59

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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.