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Finding the Fourth Proportional to 454.04, 679.26 and 280.88

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Solution

The fourth proportional to 454.04, 679.26 and 280.88 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.04 : 679.26 = 280.88 : x
  2. Step 2: Convert to fraction form
    454.04/679.26 = 280.88/x
  3. Step 3: Cross multiply
    454.04x = 679.26 × 280.88
  4. Step 4: Simplify right side
    454.04x = 190,790.55
  5. Step 5: Solve for x
    x = 190,790.55/454.04
  6. Step 6: Final answer
    x = 420.21

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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.