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Finding the Fourth Proportional to 539.90, 810.16 and 227.52

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Solution

The fourth proportional to 539.90, 810.16 and 227.52 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.90 : 810.16 = 227.52 : x
  2. Step 2: Convert to fraction form
    539.90/810.16 = 227.52/x
  3. Step 3: Cross multiply
    539.90x = 810.16 × 227.52
  4. Step 4: Simplify right side
    539.90x = 184,330.64
  5. Step 5: Solve for x
    x = 184,330.64/539.90
  6. Step 6: Final answer
    x = 341.42

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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.