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Finding the Fourth Proportional to 299.32, 413.62 and 289.06

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Solution

The fourth proportional to 299.32, 413.62 and 289.06 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 413.62 = 289.06 : x
  2. Step 2: Convert to fraction form
    299.32/413.62 = 289.06/x
  3. Step 3: Cross multiply
    299.32x = 413.62 × 289.06
  4. Step 4: Simplify right side
    299.32x = 119,559.24
  5. Step 5: Solve for x
    x = 119,559.24/299.32
  6. Step 6: Final answer
    x = 399.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.