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Finding the Fourth Proportional to 537.92, 743.28 and 422.36

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Solution

The fourth proportional to 537.92, 743.28 and 422.36 is: 583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 743.28 = 422.36 : x
  2. Step 2: Convert to fraction form
    537.92/743.28 = 422.36/x
  3. Step 3: Cross multiply
    537.92x = 743.28 × 422.36
  4. Step 4: Simplify right side
    537.92x = 313,931.74
  5. Step 5: Solve for x
    x = 313,931.74/537.92
  6. Step 6: Final answer
    x = 583.60

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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.