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Finding the Fourth Proportional to 389.39, 584.08 and 100.82

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Solution

The fourth proportional to 389.39, 584.08 and 100.82 is: 151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.39 : 584.08 = 100.82 : x
  2. Step 2: Convert to fraction form
    389.39/584.08 = 100.82/x
  3. Step 3: Cross multiply
    389.39x = 584.08 × 100.82
  4. Step 4: Simplify right side
    389.39x = 58,886.95
  5. Step 5: Solve for x
    x = 58,886.95/389.39
  6. Step 6: Final answer
    x = 151.23

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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.