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Finding the Fourth Proportional to 537.57, 806.63 and 364.10

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Solution

The fourth proportional to 537.57, 806.63 and 364.10 is: 546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.57 : 806.63 = 364.10 : x
  2. Step 2: Convert to fraction form
    537.57/806.63 = 364.10/x
  3. Step 3: Cross multiply
    537.57x = 806.63 × 364.10
  4. Step 4: Simplify right side
    537.57x = 293,688.13
  5. Step 5: Solve for x
    x = 293,688.13/537.57
  6. Step 6: Final answer
    x = 546.33

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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.