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Finding the Fourth Proportional to 402.70, 555.60 and 262.96

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Solution

The fourth proportional to 402.70, 555.60 and 262.96 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 555.60 = 262.96 : x
  2. Step 2: Convert to fraction form
    402.70/555.60 = 262.96/x
  3. Step 3: Cross multiply
    402.70x = 555.60 × 262.96
  4. Step 4: Simplify right side
    402.70x = 146,100.58
  5. Step 5: Solve for x
    x = 146,100.58/402.70
  6. Step 6: Final answer
    x = 362.80

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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.