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Finding the Fourth Proportional to 664.71, 917.30 and 369.98

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Solution

The fourth proportional to 664.71, 917.30 and 369.98 is: 510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.71 : 917.30 = 369.98 : x
  2. Step 2: Convert to fraction form
    664.71/917.30 = 369.98/x
  3. Step 3: Cross multiply
    664.71x = 917.30 × 369.98
  4. Step 4: Simplify right side
    664.71x = 339,376.22
  5. Step 5: Solve for x
    x = 339,376.22/664.71
  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.