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Finding the Fourth Proportional to 389.47, 584.21 and 100.91

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Solution

The fourth proportional to 389.47, 584.21 and 100.91 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.47 : 584.21 = 100.91 : x
  2. Step 2: Convert to fraction form
    389.47/584.21 = 100.91/x
  3. Step 3: Cross multiply
    389.47x = 584.21 × 100.91
  4. Step 4: Simplify right side
    389.47x = 58,952.88
  5. Step 5: Solve for x
    x = 58,952.88/389.47
  6. Step 6: Final answer
    x = 151.37

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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.