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Finding the Fourth Proportional to 664.58, 917.13 and 365.84

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Solution

The fourth proportional to 664.58, 917.13 and 365.84 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 917.13 = 365.84 : x
  2. Step 2: Convert to fraction form
    664.58/917.13 = 365.84/x
  3. Step 3: Cross multiply
    664.58x = 917.13 × 365.84
  4. Step 4: Simplify right side
    664.58x = 335,518.25
  5. Step 5: Solve for x
    x = 335,518.25/664.58
  6. Step 6: Final answer
    x = 504.86

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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.