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Finding the Fourth Proportional to 289.54, 399.93 and 254.61

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Solution

The fourth proportional to 289.54, 399.93 and 254.61 is: 351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 399.93 = 254.61 : x
  2. Step 2: Convert to fraction form
    289.54/399.93 = 254.61/x
  3. Step 3: Cross multiply
    289.54x = 399.93 × 254.61
  4. Step 4: Simplify right side
    289.54x = 101,825.22
  5. Step 5: Solve for x
    x = 101,825.22/289.54
  6. Step 6: Final answer
    x = 351.68

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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.