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Finding the Fourth Proportional to 402.64, 555.82 and 271.72

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Solution

The fourth proportional to 402.64, 555.82 and 271.72 is: 375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 555.82 = 271.72 : x
  2. Step 2: Convert to fraction form
    402.64/555.82 = 271.72/x
  3. Step 3: Cross multiply
    402.64x = 555.82 × 271.72
  4. Step 4: Simplify right side
    402.64x = 151,027.41
  5. Step 5: Solve for x
    x = 151,027.41/402.64
  6. Step 6: Final answer
    x = 375.09

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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.