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Finding the Fourth Proportional to 539.69, 808.32 and 514.58

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Solution

The fourth proportional to 539.69, 808.32 and 514.58 is: 770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.69 : 808.32 = 514.58 : x
  2. Step 2: Convert to fraction form
    539.69/808.32 = 514.58/x
  3. Step 3: Cross multiply
    539.69x = 808.32 × 514.58
  4. Step 4: Simplify right side
    539.69x = 415,945.31
  5. Step 5: Solve for x
    x = 415,945.31/539.69
  6. Step 6: Final answer
    x = 770.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.