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Finding the Fourth Proportional to 454.50, 682.20 and 307.78

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Solution

The fourth proportional to 454.50, 682.20 and 307.78 is: 461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.50 : 682.20 = 307.78 : x
  2. Step 2: Convert to fraction form
    454.50/682.20 = 307.78/x
  3. Step 3: Cross multiply
    454.50x = 682.20 × 307.78
  4. Step 4: Simplify right side
    454.50x = 209,967.52
  5. Step 5: Solve for x
    x = 209,967.52/454.50
  6. Step 6: Final answer
    x = 461.97

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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.