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Finding the Fourth Proportional to 402.95, 556.13 and 225.98

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Solution

The fourth proportional to 402.95, 556.13 and 225.98 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.95 : 556.13 = 225.98 : x
  2. Step 2: Convert to fraction form
    402.95/556.13 = 225.98/x
  3. Step 3: Cross multiply
    402.95x = 556.13 × 225.98
  4. Step 4: Simplify right side
    402.95x = 125,675.65
  5. Step 5: Solve for x
    x = 125,675.65/402.95
  6. Step 6: Final answer
    x = 311.89

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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.