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Finding the Fourth Proportional to 664.70, 997.14 and 404.90

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Solution

The fourth proportional to 664.70, 997.14 and 404.90 is: 607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 997.14 = 404.90 : x
  2. Step 2: Convert to fraction form
    664.70/997.14 = 404.90/x
  3. Step 3: Cross multiply
    664.70x = 997.14 × 404.90
  4. Step 4: Simplify right side
    664.70x = 403,741.99
  5. Step 5: Solve for x
    x = 403,741.99/664.70
  6. Step 6: Final answer
    x = 607.40

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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.