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Finding the Fourth Proportional to 517.26, 713.82 and 284.40

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Solution

The fourth proportional to 517.26, 713.82 and 284.40 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 713.82 = 284.40 : x
  2. Step 2: Convert to fraction form
    517.26/713.82 = 284.40/x
  3. Step 3: Cross multiply
    517.26x = 713.82 × 284.40
  4. Step 4: Simplify right side
    517.26x = 203,010.41
  5. Step 5: Solve for x
    x = 203,010.41/517.26
  6. Step 6: Final answer
    x = 392.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.