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Finding the Fourth Proportional to 664.40, 916.84 and 365.64

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Solution

The fourth proportional to 664.40, 916.84 and 365.64 is: 504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 916.84 = 365.64 : x
  2. Step 2: Convert to fraction form
    664.40/916.84 = 365.64/x
  3. Step 3: Cross multiply
    664.40x = 916.84 × 365.64
  4. Step 4: Simplify right side
    664.40x = 335,234.00
  5. Step 5: Solve for x
    x = 335,234.00/664.40
  6. Step 6: Final answer
    x = 504.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.