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Finding the Fourth Proportional to 402.06, 606.78 and 402.06

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Solution

The fourth proportional to 402.06, 606.78 and 402.06 is: 606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 606.78 = 402.06 : x
  2. Step 2: Convert to fraction form
    402.06/606.78 = 402.06/x
  3. Step 3: Cross multiply
    402.06x = 606.78 × 402.06
  4. Step 4: Simplify right side
    402.06x = 243,961.97
  5. Step 5: Solve for x
    x = 243,961.97/402.06
  6. Step 6: Final answer
    x = 606.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.