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Finding the Fourth Proportional to 295.14, 406.29 and 254.25

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Solution

The fourth proportional to 295.14, 406.29 and 254.25 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 406.29 = 254.25 : x
  2. Step 2: Convert to fraction form
    295.14/406.29 = 254.25/x
  3. Step 3: Cross multiply
    295.14x = 406.29 × 254.25
  4. Step 4: Simplify right side
    295.14x = 103,299.23
  5. Step 5: Solve for x
    x = 103,299.23/295.14
  6. Step 6: Final answer
    x = 350.00

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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.