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Finding the Fourth Proportional to 389.91, 584.94 and 146.45

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Solution

The fourth proportional to 389.91, 584.94 and 146.45 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.91 : 584.94 = 146.45 : x
  2. Step 2: Convert to fraction form
    389.91/584.94 = 146.45/x
  3. Step 3: Cross multiply
    389.91x = 584.94 × 146.45
  4. Step 4: Simplify right side
    389.91x = 85,661.54
  5. Step 5: Solve for x
    x = 85,661.54/389.91
  6. Step 6: Final answer
    x = 219.70

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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.