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Finding the Fourth Proportional to 418.44, 576.95 and 271.02

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Solution

The fourth proportional to 418.44, 576.95 and 271.02 is: 373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 576.95 = 271.02 : x
  2. Step 2: Convert to fraction form
    418.44/576.95 = 271.02/x
  3. Step 3: Cross multiply
    418.44x = 576.95 × 271.02
  4. Step 4: Simplify right side
    418.44x = 156,363.63
  5. Step 5: Solve for x
    x = 156,363.63/418.44
  6. Step 6: Final answer
    x = 373.68

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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.