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Finding the Fourth Proportional to 665.29, 918.11 and 370.59

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Solution

The fourth proportional to 665.29, 918.11 and 370.59 is: 511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.29 : 918.11 = 370.59 : x
  2. Step 2: Convert to fraction form
    665.29/918.11 = 370.59/x
  3. Step 3: Cross multiply
    665.29x = 918.11 × 370.59
  4. Step 4: Simplify right side
    665.29x = 340,242.38
  5. Step 5: Solve for x
    x = 340,242.38/665.29
  6. Step 6: Final answer
    x = 511.42

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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.