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Finding the Fourth Proportional to 537.92, 805.38 and 485.69

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Solution

The fourth proportional to 537.92, 805.38 and 485.69 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 805.38 = 485.69 : x
  2. Step 2: Convert to fraction form
    537.92/805.38 = 485.69/x
  3. Step 3: Cross multiply
    537.92x = 805.38 × 485.69
  4. Step 4: Simplify right side
    537.92x = 391,165.01
  5. Step 5: Solve for x
    x = 391,165.01/537.92
  6. Step 6: Final answer
    x = 727.18

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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.