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Finding the Fourth Proportional to 505.28, 756.54 and 427.82

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Solution

The fourth proportional to 505.28, 756.54 and 427.82 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.28 : 756.54 = 427.82 : x
  2. Step 2: Convert to fraction form
    505.28/756.54 = 427.82/x
  3. Step 3: Cross multiply
    505.28x = 756.54 × 427.82
  4. Step 4: Simplify right side
    505.28x = 323,662.94
  5. Step 5: Solve for x
    x = 323,662.94/505.28
  6. Step 6: Final answer
    x = 640.56

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