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Finding the Fourth Proportional to 664.68, 917.28 and 369.96

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Solution

The fourth proportional to 664.68, 917.28 and 369.96 is: 510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 917.28 = 369.96 : x
  2. Step 2: Convert to fraction form
    664.68/917.28 = 369.96/x
  3. Step 3: Cross multiply
    664.68x = 917.28 × 369.96
  4. Step 4: Simplify right side
    664.68x = 339,356.91
  5. Step 5: Solve for x
    x = 339,356.91/664.68
  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.