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Finding the Fourth Proportional to 539.54, 808.62 and 231.31

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Solution

The fourth proportional to 539.54, 808.62 and 231.31 is: 346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.54 : 808.62 = 231.31 : x
  2. Step 2: Convert to fraction form
    539.54/808.62 = 231.31/x
  3. Step 3: Cross multiply
    539.54x = 808.62 × 231.31
  4. Step 4: Simplify right side
    539.54x = 187,041.89
  5. Step 5: Solve for x
    x = 187,041.89/539.54
  6. Step 6: Final answer
    x = 346.67

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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.