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Finding the Fourth Proportional to 537.02, 743.12 and 458.21

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Solution

The fourth proportional to 537.02, 743.12 and 458.21 is: 634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 743.12 = 458.21 : x
  2. Step 2: Convert to fraction form
    537.02/743.12 = 458.21/x
  3. Step 3: Cross multiply
    537.02x = 743.12 × 458.21
  4. Step 4: Simplify right side
    537.02x = 340,505.02
  5. Step 5: Solve for x
    x = 340,505.02/537.02
  6. Step 6: Final answer
    x = 634.06

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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.