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Finding the Fourth Proportional to 539.66, 809.62 and 188.26

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Solution

The fourth proportional to 539.66, 809.62 and 188.26 is: 282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.66 : 809.62 = 188.26 : x
  2. Step 2: Convert to fraction form
    539.66/809.62 = 188.26/x
  3. Step 3: Cross multiply
    539.66x = 809.62 × 188.26
  4. Step 4: Simplify right side
    539.66x = 152,416.57
  5. Step 5: Solve for x
    x = 152,416.57/539.66
  6. Step 6: Final answer
    x = 282.43

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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.