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Finding the Fourth Proportional to 418.66, 577.81 and 261.45

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Solution

The fourth proportional to 418.66, 577.81 and 261.45 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.66 : 577.81 = 261.45 : x
  2. Step 2: Convert to fraction form
    418.66/577.81 = 261.45/x
  3. Step 3: Cross multiply
    418.66x = 577.81 × 261.45
  4. Step 4: Simplify right side
    418.66x = 151,067.77
  5. Step 5: Solve for x
    x = 151,067.77/418.66
  6. Step 6: Final answer
    x = 360.84

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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.