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Finding the Fourth Proportional to 418.42, 577.29 and 261.07

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Solution

The fourth proportional to 418.42, 577.29 and 261.07 is: 360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 577.29 = 261.07 : x
  2. Step 2: Convert to fraction form
    418.42/577.29 = 261.07/x
  3. Step 3: Cross multiply
    418.42x = 577.29 × 261.07
  4. Step 4: Simplify right side
    418.42x = 150,713.10
  5. Step 5: Solve for x
    x = 150,713.10/418.42
  6. Step 6: Final answer
    x = 360.20

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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.