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Finding the Fourth Proportional to 675.31, 931.87 and 426.54

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Solution

The fourth proportional to 675.31, 931.87 and 426.54 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.31 : 931.87 = 426.54 : x
  2. Step 2: Convert to fraction form
    675.31/931.87 = 426.54/x
  3. Step 3: Cross multiply
    675.31x = 931.87 × 426.54
  4. Step 4: Simplify right side
    675.31x = 397,479.44
  5. Step 5: Solve for x
    x = 397,479.44/675.31
  6. Step 6: Final answer
    x = 588.59

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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.