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Finding the Fourth Proportional to 428.52, 641.63 and 273.60

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Solution

The fourth proportional to 428.52, 641.63 and 273.60 is: 409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.52 : 641.63 = 273.60 : x
  2. Step 2: Convert to fraction form
    428.52/641.63 = 273.60/x
  3. Step 3: Cross multiply
    428.52x = 641.63 × 273.60
  4. Step 4: Simplify right side
    428.52x = 175,548.60
  5. Step 5: Solve for x
    x = 175,548.60/428.52
  6. Step 6: Final answer
    x = 409.66

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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.