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Finding the Fourth Proportional to 656.56, 985.26 and 271.72

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Solution

The fourth proportional to 656.56, 985.26 and 271.72 is: 407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 985.26 = 271.72 : x
  2. Step 2: Convert to fraction form
    656.56/985.26 = 271.72/x
  3. Step 3: Cross multiply
    656.56x = 985.26 × 271.72
  4. Step 4: Simplify right side
    656.56x = 267,714.85
  5. Step 5: Solve for x
    x = 267,714.85/656.56
  6. Step 6: Final answer
    x = 407.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.