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Finding the Fourth Proportional to 386.64, 578.36 and 334.48

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Solution

The fourth proportional to 386.64, 578.36 and 334.48 is: 500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 578.36 = 334.48 : x
  2. Step 2: Convert to fraction form
    386.64/578.36 = 334.48/x
  3. Step 3: Cross multiply
    386.64x = 578.36 × 334.48
  4. Step 4: Simplify right side
    386.64x = 193,449.85
  5. Step 5: Solve for x
    x = 193,449.85/386.64
  6. Step 6: Final answer
    x = 500.34

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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.