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Finding the Fourth Proportional to 418.32, 576.99 and 385.92

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Solution

The fourth proportional to 418.32, 576.99 and 385.92 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 576.99 = 385.92 : x
  2. Step 2: Convert to fraction form
    418.32/576.99 = 385.92/x
  3. Step 3: Cross multiply
    418.32x = 576.99 × 385.92
  4. Step 4: Simplify right side
    418.32x = 222,671.98
  5. Step 5: Solve for x
    x = 222,671.98/418.32
  6. Step 6: Final answer
    x = 532.30

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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.