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Finding the Fourth Proportional to 680.27, 938.59 and 505.31

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Solution

The fourth proportional to 680.27, 938.59 and 505.31 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 938.59 = 505.31 : x
  2. Step 2: Convert to fraction form
    680.27/938.59 = 505.31/x
  3. Step 3: Cross multiply
    680.27x = 938.59 × 505.31
  4. Step 4: Simplify right side
    680.27x = 474,272.96
  5. Step 5: Solve for x
    x = 474,272.96/680.27
  6. Step 6: Final answer
    x = 697.19

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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.