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Finding the Fourth Proportional to 384.01, 575.96 and 123.99

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Solution

The fourth proportional to 384.01, 575.96 and 123.99 is: 185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.01 : 575.96 = 123.99 : x
  2. Step 2: Convert to fraction form
    384.01/575.96 = 123.99/x
  3. Step 3: Cross multiply
    384.01x = 575.96 × 123.99
  4. Step 4: Simplify right side
    384.01x = 71,413.28
  5. Step 5: Solve for x
    x = 71,413.28/384.01
  6. Step 6: Final answer
    x = 185.97

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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.