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Finding the Fourth Proportional to 418.74, 577.67 and 271.35

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Solution

The fourth proportional to 418.74, 577.67 and 271.35 is: 374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 577.67 = 271.35 : x
  2. Step 2: Convert to fraction form
    418.74/577.67 = 271.35/x
  3. Step 3: Cross multiply
    418.74x = 577.67 × 271.35
  4. Step 4: Simplify right side
    418.74x = 156,749.40
  5. Step 5: Solve for x
    x = 156,749.40/418.74
  6. Step 6: Final answer
    x = 374.34

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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.