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Finding the Fourth Proportional to 389.34, 584.08 and 115.42

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Solution

The fourth proportional to 389.34, 584.08 and 115.42 is: 173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 584.08 = 115.42 : x
  2. Step 2: Convert to fraction form
    389.34/584.08 = 115.42/x
  3. Step 3: Cross multiply
    389.34x = 584.08 × 115.42
  4. Step 4: Simplify right side
    389.34x = 67,414.51
  5. Step 5: Solve for x
    x = 67,414.51/389.34
  6. Step 6: Final answer
    x = 173.15

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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.