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Finding the Fourth Proportional to 539.60, 808.86 and 192.84

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Solution

The fourth proportional to 539.60, 808.86 and 192.84 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 808.86 = 192.84 : x
  2. Step 2: Convert to fraction form
    539.60/808.86 = 192.84/x
  3. Step 3: Cross multiply
    539.60x = 808.86 × 192.84
  4. Step 4: Simplify right side
    539.60x = 155,980.56
  5. Step 5: Solve for x
    x = 155,980.56/539.60
  6. Step 6: Final answer
    x = 289.07

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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.