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Finding the Fourth Proportional to 441.54, 612.11 and 418.13

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Solution

The fourth proportional to 441.54, 612.11 and 418.13 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.54 : 612.11 = 418.13 : x
  2. Step 2: Convert to fraction form
    441.54/612.11 = 418.13/x
  3. Step 3: Cross multiply
    441.54x = 612.11 × 418.13
  4. Step 4: Simplify right side
    441.54x = 255,938.98
  5. Step 5: Solve for x
    x = 255,938.98/441.54
  6. Step 6: Final answer
    x = 579.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.