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Finding the Fourth Proportional to 475.48, 713.31 and 270.34

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Solution

The fourth proportional to 475.48, 713.31 and 270.34 is: 405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.48 : 713.31 = 270.34 : x
  2. Step 2: Convert to fraction form
    475.48/713.31 = 270.34/x
  3. Step 3: Cross multiply
    475.48x = 713.31 × 270.34
  4. Step 4: Simplify right side
    475.48x = 192,836.23
  5. Step 5: Solve for x
    x = 192,836.23/475.48
  6. Step 6: Final answer
    x = 405.56

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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.