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Finding the Fourth Proportional to 537.25, 805.89 and 364.26

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Solution

The fourth proportional to 537.25, 805.89 and 364.26 is: 546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.25 : 805.89 = 364.26 : x
  2. Step 2: Convert to fraction form
    537.25/805.89 = 364.26/x
  3. Step 3: Cross multiply
    537.25x = 805.89 × 364.26
  4. Step 4: Simplify right side
    537.25x = 293,553.49
  5. Step 5: Solve for x
    x = 293,553.49/537.25
  6. Step 6: Final answer
    x = 546.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.