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Finding the Fourth Proportional to 402.03, 554.85 and 254.81

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Solution

The fourth proportional to 402.03, 554.85 and 254.81 is: 351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.03 : 554.85 = 254.81 : x
  2. Step 2: Convert to fraction form
    402.03/554.85 = 254.81/x
  3. Step 3: Cross multiply
    402.03x = 554.85 × 254.81
  4. Step 4: Simplify right side
    402.03x = 141,381.33
  5. Step 5: Solve for x
    x = 141,381.33/402.03
  6. Step 6: Final answer
    x = 351.67

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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.