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Finding the Fourth Proportional to 402.76, 555.70 and 255.32

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Solution

The fourth proportional to 402.76, 555.70 and 255.32 is: 352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 555.70 = 255.32 : x
  2. Step 2: Convert to fraction form
    402.76/555.70 = 255.32/x
  3. Step 3: Cross multiply
    402.76x = 555.70 × 255.32
  4. Step 4: Simplify right side
    402.76x = 141,881.32
  5. Step 5: Solve for x
    x = 141,881.32/402.76
  6. Step 6: Final answer
    x = 352.27

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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.