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Finding the Fourth Proportional to 665.38, 918.20 and 370.69

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Solution

The fourth proportional to 665.38, 918.20 and 370.69 is: 511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.38 : 918.20 = 370.69 : x
  2. Step 2: Convert to fraction form
    665.38/918.20 = 370.69/x
  3. Step 3: Cross multiply
    665.38x = 918.20 × 370.69
  4. Step 4: Simplify right side
    665.38x = 340,366.19
  5. Step 5: Solve for x
    x = 340,366.19/665.38
  6. Step 6: Final answer
    x = 511.54

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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.