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Finding the Fourth Proportional to 665.89, 918.96 and 367.16

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Solution

The fourth proportional to 665.89, 918.96 and 367.16 is: 506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.89 : 918.96 = 367.16 : x
  2. Step 2: Convert to fraction form
    665.89/918.96 = 367.16/x
  3. Step 3: Cross multiply
    665.89x = 918.96 × 367.16
  4. Step 4: Simplify right side
    665.89x = 337,404.55
  5. Step 5: Solve for x
    x = 337,404.55/665.89
  6. Step 6: Final answer
    x = 506.69

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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.