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Finding the Fourth Proportional to 418.68, 577.60 and 271.33

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Solution

The fourth proportional to 418.68, 577.60 and 271.33 is: 374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.68 : 577.60 = 271.33 : x
  2. Step 2: Convert to fraction form
    418.68/577.60 = 271.33/x
  3. Step 3: Cross multiply
    418.68x = 577.60 × 271.33
  4. Step 4: Simplify right side
    418.68x = 156,720.21
  5. Step 5: Solve for x
    x = 156,720.21/418.68
  6. Step 6: Final answer
    x = 374.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.