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Finding the Fourth Proportional to 418.85, 577.62 and 271.31

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Solution

The fourth proportional to 418.85, 577.62 and 271.31 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.85 : 577.62 = 271.31 : x
  2. Step 2: Convert to fraction form
    418.85/577.62 = 271.31/x
  3. Step 3: Cross multiply
    418.85x = 577.62 × 271.31
  4. Step 4: Simplify right side
    418.85x = 156,715.53
  5. Step 5: Solve for x
    x = 156,715.53/418.85
  6. Step 6: Final answer
    x = 374.16

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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.