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Finding the Fourth Proportional to 454.09, 680.45 and 337.99

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Solution

The fourth proportional to 454.09, 680.45 and 337.99 is: 506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.09 : 680.45 = 337.99 : x
  2. Step 2: Convert to fraction form
    454.09/680.45 = 337.99/x
  3. Step 3: Cross multiply
    454.09x = 680.45 × 337.99
  4. Step 4: Simplify right side
    454.09x = 229,985.08
  5. Step 5: Solve for x
    x = 229,985.08/454.09
  6. Step 6: Final answer
    x = 506.48

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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.