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Finding the Fourth Proportional to 418.62, 577.41 and 287.40

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Solution

The fourth proportional to 418.62, 577.41 and 287.40 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.62 : 577.41 = 287.40 : x
  2. Step 2: Convert to fraction form
    418.62/577.41 = 287.40/x
  3. Step 3: Cross multiply
    418.62x = 577.41 × 287.40
  4. Step 4: Simplify right side
    418.62x = 165,947.63
  5. Step 5: Solve for x
    x = 165,947.63/418.62
  6. Step 6: Final answer
    x = 396.42

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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.