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Finding the Fourth Proportional to 418.32, 577.36 and 271.20

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Solution

The fourth proportional to 418.32, 577.36 and 271.20 is: 374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 577.36 = 271.20 : x
  2. Step 2: Convert to fraction form
    418.32/577.36 = 271.20/x
  3. Step 3: Cross multiply
    418.32x = 577.36 × 271.20
  4. Step 4: Simplify right side
    418.32x = 156,580.03
  5. Step 5: Solve for x
    x = 156,580.03/418.32
  6. Step 6: Final answer
    x = 374.31

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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.