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Finding the Fourth Proportional to 537.57, 805.89 and 213.16

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Solution

The fourth proportional to 537.57, 805.89 and 213.16 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.57 : 805.89 = 213.16 : x
  2. Step 2: Convert to fraction form
    537.57/805.89 = 213.16/x
  3. Step 3: Cross multiply
    537.57x = 805.89 × 213.16
  4. Step 4: Simplify right side
    537.57x = 171,783.51
  5. Step 5: Solve for x
    x = 171,783.51/537.57
  6. Step 6: Final answer
    x = 319.56

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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.