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Finding the Fourth Proportional to 402, 554.78 and 227.36

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Solution

The fourth proportional to 402, 554.78 and 227.36 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 554.78 = 227.36 : x
  2. Step 2: Convert to fraction form
    402/554.78 = 227.36/x
  3. Step 3: Cross multiply
    402x = 554.78 × 227.36
  4. Step 4: Simplify right side
    402x = 126,130.87
  5. Step 5: Solve for x
    x = 126,130.87/402
  6. Step 6: Final answer
    x = 313.76

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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.