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Finding the Fourth Proportional to 418.83, 577.83 and 261.42

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Solution

The fourth proportional to 418.83, 577.83 and 261.42 is: 360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.83 : 577.83 = 261.42 : x
  2. Step 2: Convert to fraction form
    418.83/577.83 = 261.42/x
  3. Step 3: Cross multiply
    418.83x = 577.83 × 261.42
  4. Step 4: Simplify right side
    418.83x = 151,056.32
  5. Step 5: Solve for x
    x = 151,056.32/418.83
  6. Step 6: Final answer
    x = 360.66

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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.