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Finding the Fourth Proportional to 537.01, 805.97 and 212.60

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Solution

The fourth proportional to 537.01, 805.97 and 212.60 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.01 : 805.97 = 212.60 : x
  2. Step 2: Convert to fraction form
    537.01/805.97 = 212.60/x
  3. Step 3: Cross multiply
    537.01x = 805.97 × 212.60
  4. Step 4: Simplify right side
    537.01x = 171,350.17
  5. Step 5: Solve for x
    x = 171,350.17/537.01
  6. Step 6: Final answer
    x = 319.08

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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.