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Finding the Fourth Proportional to 389.52, 584.33 and 100.98

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Solution

The fourth proportional to 389.52, 584.33 and 100.98 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 584.33 = 100.98 : x
  2. Step 2: Convert to fraction form
    389.52/584.33 = 100.98/x
  3. Step 3: Cross multiply
    389.52x = 584.33 × 100.98
  4. Step 4: Simplify right side
    389.52x = 59,005.14
  5. Step 5: Solve for x
    x = 59,005.14/389.52
  6. Step 6: Final answer
    x = 151.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.