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Finding the Fourth Proportional to 476.31, 713.45 and 270.78

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Solution

The fourth proportional to 476.31, 713.45 and 270.78 is: 405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.31 : 713.45 = 270.78 : x
  2. Step 2: Convert to fraction form
    476.31/713.45 = 270.78/x
  3. Step 3: Cross multiply
    476.31x = 713.45 × 270.78
  4. Step 4: Simplify right side
    476.31x = 193,186.64
  5. Step 5: Solve for x
    x = 193,186.64/476.31
  6. Step 6: Final answer
    x = 405.59

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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.