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Finding the Fourth Proportional to 418.24, 577.20 and 287.20

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Solution

The fourth proportional to 418.24, 577.20 and 287.20 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 577.20 = 287.20 : x
  2. Step 2: Convert to fraction form
    418.24/577.20 = 287.20/x
  3. Step 3: Cross multiply
    418.24x = 577.20 × 287.20
  4. Step 4: Simplify right side
    418.24x = 165,771.84
  5. Step 5: Solve for x
    x = 165,771.84/418.24
  6. Step 6: Final answer
    x = 396.36

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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.