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Finding the Fourth Proportional to 537.24, 739.74 and 426.36

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Solution

The fourth proportional to 537.24, 739.74 and 426.36 is: 587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 739.74 = 426.36 : x
  2. Step 2: Convert to fraction form
    537.24/739.74 = 426.36/x
  3. Step 3: Cross multiply
    537.24x = 739.74 × 426.36
  4. Step 4: Simplify right side
    537.24x = 315,395.55
  5. Step 5: Solve for x
    x = 315,395.55/537.24
  6. Step 6: Final answer
    x = 587.07

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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.