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Finding the Fourth Proportional to 418.86, 576.96 and 348.78

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Solution

The fourth proportional to 418.86, 576.96 and 348.78 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 576.96 = 348.78 : x
  2. Step 2: Convert to fraction form
    418.86/576.96 = 348.78/x
  3. Step 3: Cross multiply
    418.86x = 576.96 × 348.78
  4. Step 4: Simplify right side
    418.86x = 201,232.11
  5. Step 5: Solve for x
    x = 201,232.11/418.86
  6. Step 6: Final answer
    x = 480.43

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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.