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Finding the Fourth Proportional to 537.63, 806.58 and 212.91

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Solution

The fourth proportional to 537.63, 806.58 and 212.91 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 806.58 = 212.91 : x
  2. Step 2: Convert to fraction form
    537.63/806.58 = 212.91/x
  3. Step 3: Cross multiply
    537.63x = 806.58 × 212.91
  4. Step 4: Simplify right side
    537.63x = 171,728.95
  5. Step 5: Solve for x
    x = 171,728.95/537.63
  6. Step 6: Final answer
    x = 319.42

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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.