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Finding the Fourth Proportional to 454.13, 681.20 and 270.98

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Solution

The fourth proportional to 454.13, 681.20 and 270.98 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 681.20 = 270.98 : x
  2. Step 2: Convert to fraction form
    454.13/681.20 = 270.98/x
  3. Step 3: Cross multiply
    454.13x = 681.20 × 270.98
  4. Step 4: Simplify right side
    454.13x = 184,588.85
  5. Step 5: Solve for x
    x = 184,588.85/454.13
  6. Step 6: Final answer
    x = 406.46

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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.