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Finding the Fourth Proportional to 402.94, 556.05 and 225.91

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Solution

The fourth proportional to 402.94, 556.05 and 225.91 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 556.05 = 225.91 : x
  2. Step 2: Convert to fraction form
    402.94/556.05 = 225.91/x
  3. Step 3: Cross multiply
    402.94x = 556.05 × 225.91
  4. Step 4: Simplify right side
    402.94x = 125,617.26
  5. Step 5: Solve for x
    x = 125,617.26/402.94
  6. Step 6: Final answer
    x = 311.75

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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.