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Finding the Fourth Proportional to 454.85, 682.37 and 259.95

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Solution

The fourth proportional to 454.85, 682.37 and 259.95 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.85 : 682.37 = 259.95 : x
  2. Step 2: Convert to fraction form
    454.85/682.37 = 259.95/x
  3. Step 3: Cross multiply
    454.85x = 682.37 × 259.95
  4. Step 4: Simplify right side
    454.85x = 177,382.08
  5. Step 5: Solve for x
    x = 177,382.08/454.85
  6. Step 6: Final answer
    x = 389.98

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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.