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Finding the Fourth Proportional to 402.14, 555.04 and 254.67

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Solution

The fourth proportional to 402.14, 555.04 and 254.67 is: 351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 555.04 = 254.67 : x
  2. Step 2: Convert to fraction form
    402.14/555.04 = 254.67/x
  3. Step 3: Cross multiply
    402.14x = 555.04 × 254.67
  4. Step 4: Simplify right side
    402.14x = 141,351.96
  5. Step 5: Solve for x
    x = 141,351.96/402.14
  6. Step 6: Final answer
    x = 351.50

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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.