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Finding the Fourth Proportional to 418.46, 577.40 and 261.04

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Solution

The fourth proportional to 418.46, 577.40 and 261.04 is: 360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.46 : 577.40 = 261.04 : x
  2. Step 2: Convert to fraction form
    418.46/577.40 = 261.04/x
  3. Step 3: Cross multiply
    418.46x = 577.40 × 261.04
  4. Step 4: Simplify right side
    418.46x = 150,721.75
  5. Step 5: Solve for x
    x = 150,721.75/418.46
  6. Step 6: Final answer
    x = 360.19

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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.