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Finding the Fourth Proportional to 503.55, 755.64 and 272.34

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Solution

The fourth proportional to 503.55, 755.64 and 272.34 is: 408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.55 : 755.64 = 272.34 : x
  2. Step 2: Convert to fraction form
    503.55/755.64 = 272.34/x
  3. Step 3: Cross multiply
    503.55x = 755.64 × 272.34
  4. Step 4: Simplify right side
    503.55x = 205,791.00
  5. Step 5: Solve for x
    x = 205,791.00/503.55
  6. Step 6: Final answer
    x = 408.68

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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.