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Finding the Fourth Proportional to 402.64, 555.90 and 255.22

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Solution

The fourth proportional to 402.64, 555.90 and 255.22 is: 352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 555.90 = 255.22 : x
  2. Step 2: Convert to fraction form
    402.64/555.90 = 255.22/x
  3. Step 3: Cross multiply
    402.64x = 555.90 × 255.22
  4. Step 4: Simplify right side
    402.64x = 141,876.80
  5. Step 5: Solve for x
    x = 141,876.80/402.64
  6. Step 6: Final answer
    x = 352.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.