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Finding the Fourth Proportional to 454.49, 680.70 and 271.50

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Solution

The fourth proportional to 454.49, 680.70 and 271.50 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.49 : 680.70 = 271.50 : x
  2. Step 2: Convert to fraction form
    454.49/680.70 = 271.50/x
  3. Step 3: Cross multiply
    454.49x = 680.70 × 271.50
  4. Step 4: Simplify right side
    454.49x = 184,808.04
  5. Step 5: Solve for x
    x = 184,808.04/454.49
  6. Step 6: Final answer
    x = 406.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.