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Finding the Fourth Proportional to 389.71, 584.23 and 146.24

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Solution

The fourth proportional to 389.71, 584.23 and 146.24 is: 219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.71 : 584.23 = 146.24 : x
  2. Step 2: Convert to fraction form
    389.71/584.23 = 146.24/x
  3. Step 3: Cross multiply
    389.71x = 584.23 × 146.24
  4. Step 4: Simplify right side
    389.71x = 85,437.06
  5. Step 5: Solve for x
    x = 85,437.06/389.71
  6. Step 6: Final answer
    x = 219.23

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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.