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Finding the Fourth Proportional to 537.63, 806.37 and 322.57

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Solution

The fourth proportional to 537.63, 806.37 and 322.57 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 806.37 = 322.57 : x
  2. Step 2: Convert to fraction form
    537.63/806.37 = 322.57/x
  3. Step 3: Cross multiply
    537.63x = 806.37 × 322.57
  4. Step 4: Simplify right side
    537.63x = 260,110.77
  5. Step 5: Solve for x
    x = 260,110.77/537.63
  6. Step 6: Final answer
    x = 483.81

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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.