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Finding the Fourth Proportional to 295.39, 406.70 and 251.03

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Solution

The fourth proportional to 295.39, 406.70 and 251.03 is: 345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.39 : 406.70 = 251.03 : x
  2. Step 2: Convert to fraction form
    295.39/406.70 = 251.03/x
  3. Step 3: Cross multiply
    295.39x = 406.70 × 251.03
  4. Step 4: Simplify right side
    295.39x = 102,093.90
  5. Step 5: Solve for x
    x = 102,093.90/295.39
  6. Step 6: Final answer
    x = 345.63

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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.