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Finding the Fourth Proportional to 389.53, 584.30 and 100.97

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Solution

The fourth proportional to 389.53, 584.30 and 100.97 is: 151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 584.30 = 100.97 : x
  2. Step 2: Convert to fraction form
    389.53/584.30 = 100.97/x
  3. Step 3: Cross multiply
    389.53x = 584.30 × 100.97
  4. Step 4: Simplify right side
    389.53x = 58,996.29
  5. Step 5: Solve for x
    x = 58,996.29/389.53
  6. Step 6: Final answer
    x = 151.45

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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.