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Finding the Fourth Proportional to 454.01, 680.00 and 331.91

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Solution

The fourth proportional to 454.01, 680.00 and 331.91 is: 497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.01 : 680.00 = 331.91 : x
  2. Step 2: Convert to fraction form
    454.01/680.00 = 331.91/x
  3. Step 3: Cross multiply
    454.01x = 680.00 × 331.91
  4. Step 4: Simplify right side
    454.01x = 225,696.23
  5. Step 5: Solve for x
    x = 225,696.23/454.01
  6. Step 6: Final answer
    x = 497.11

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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.