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Finding the Fourth Proportional to 664.65, 917.19 and 365.89

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Solution

The fourth proportional to 664.65, 917.19 and 365.89 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.65 : 917.19 = 365.89 : x
  2. Step 2: Convert to fraction form
    664.65/917.19 = 365.89/x
  3. Step 3: Cross multiply
    664.65x = 917.19 × 365.89
  4. Step 4: Simplify right side
    664.65x = 335,590.65
  5. Step 5: Solve for x
    x = 335,590.65/664.65
  6. Step 6: Final answer
    x = 504.91

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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.