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Finding the Fourth Proportional to 578.28, 866.34 and 304.64

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Solution

The fourth proportional to 578.28, 866.34 and 304.64 is: 456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 866.34 = 304.64 : x
  2. Step 2: Convert to fraction form
    578.28/866.34 = 304.64/x
  3. Step 3: Cross multiply
    578.28x = 866.34 × 304.64
  4. Step 4: Simplify right side
    578.28x = 263,917.49
  5. Step 5: Solve for x
    x = 263,917.49/578.28
  6. Step 6: Final answer
    x = 456.38

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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.