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Finding the Fourth Proportional to 665.23, 918.33 and 444.32

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Solution

The fourth proportional to 665.23, 918.33 and 444.32 is: 613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.23 : 918.33 = 444.32 : x
  2. Step 2: Convert to fraction form
    665.23/918.33 = 444.32/x
  3. Step 3: Cross multiply
    665.23x = 918.33 × 444.32
  4. Step 4: Simplify right side
    665.23x = 408,032.39
  5. Step 5: Solve for x
    x = 408,032.39/665.23
  6. Step 6: Final answer
    x = 613.37

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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.