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Finding the Fourth Proportional to 560.69, 773.83 and 327.81

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Solution

The fourth proportional to 560.69, 773.83 and 327.81 is: 452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.69 : 773.83 = 327.81 : x
  2. Step 2: Convert to fraction form
    560.69/773.83 = 327.81/x
  3. Step 3: Cross multiply
    560.69x = 773.83 × 327.81
  4. Step 4: Simplify right side
    560.69x = 253,669.21
  5. Step 5: Solve for x
    x = 253,669.21/560.69
  6. Step 6: Final answer
    x = 452.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.