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Finding the Fourth Proportional to 517.62, 776.49 and 192.96

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Solution

The fourth proportional to 517.62, 776.49 and 192.96 is: 289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 776.49 = 192.96 : x
  2. Step 2: Convert to fraction form
    517.62/776.49 = 192.96/x
  3. Step 3: Cross multiply
    517.62x = 776.49 × 192.96
  4. Step 4: Simplify right side
    517.62x = 149,831.51
  5. Step 5: Solve for x
    x = 149,831.51/517.62
  6. Step 6: Final answer
    x = 289.46

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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.