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Finding the Fourth Proportional to 665.20, 917.96 and 370.46

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Solution

The fourth proportional to 665.20, 917.96 and 370.46 is: 511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.20 : 917.96 = 370.46 : x
  2. Step 2: Convert to fraction form
    665.20/917.96 = 370.46/x
  3. Step 3: Cross multiply
    665.20x = 917.96 × 370.46
  4. Step 4: Simplify right side
    665.20x = 340,067.46
  5. Step 5: Solve for x
    x = 340,067.46/665.20
  6. Step 6: Final answer
    x = 511.23

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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.