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Finding the Fourth Proportional to 389.68, 584.63 and 146.23

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Solution

The fourth proportional to 389.68, 584.63 and 146.23 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.68 : 584.63 = 146.23 : x
  2. Step 2: Convert to fraction form
    389.68/584.63 = 146.23/x
  3. Step 3: Cross multiply
    389.68x = 584.63 × 146.23
  4. Step 4: Simplify right side
    389.68x = 85,490.44
  5. Step 5: Solve for x
    x = 85,490.44/389.68
  6. Step 6: Final answer
    x = 219.39

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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.