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Finding the Fourth Proportional to 664.73, 917.36 and 369.96

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Solution

The fourth proportional to 664.73, 917.36 and 369.96 is: 510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.73 : 917.36 = 369.96 : x
  2. Step 2: Convert to fraction form
    664.73/917.36 = 369.96/x
  3. Step 3: Cross multiply
    664.73x = 917.36 × 369.96
  4. Step 4: Simplify right side
    664.73x = 339,386.51
  5. Step 5: Solve for x
    x = 339,386.51/664.73
  6. Step 6: Final answer
    x = 510.56

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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.