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Finding the Fourth Proportional to 402.60, 555.64 and 271.60

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Solution

The fourth proportional to 402.60, 555.64 and 271.60 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.60 : 555.64 = 271.60 : x
  2. Step 2: Convert to fraction form
    402.60/555.64 = 271.60/x
  3. Step 3: Cross multiply
    402.60x = 555.64 × 271.60
  4. Step 4: Simplify right side
    402.60x = 150,911.82
  5. Step 5: Solve for x
    x = 150,911.82/402.60
  6. Step 6: Final answer
    x = 374.84

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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.