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Finding the Fourth Proportional to 537.50, 806.09 and 364.06

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Solution

The fourth proportional to 537.50, 806.09 and 364.06 is: 545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 806.09 = 364.06 : x
  2. Step 2: Convert to fraction form
    537.50/806.09 = 364.06/x
  3. Step 3: Cross multiply
    537.50x = 806.09 × 364.06
  4. Step 4: Simplify right side
    537.50x = 293,465.13
  5. Step 5: Solve for x
    x = 293,465.13/537.50
  6. Step 6: Final answer
    x = 545.98

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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.