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Finding the Fourth Proportional to 389.91, 585.09 and 146.46

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Solution

The fourth proportional to 389.91, 585.09 and 146.46 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.91 : 585.09 = 146.46 : x
  2. Step 2: Convert to fraction form
    389.91/585.09 = 146.46/x
  3. Step 3: Cross multiply
    389.91x = 585.09 × 146.46
  4. Step 4: Simplify right side
    389.91x = 85,692.28
  5. Step 5: Solve for x
    x = 85,692.28/389.91
  6. Step 6: Final answer
    x = 219.77

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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.