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Finding the Fourth Proportional to 665.86, 918.93 and 441.41

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Solution

The fourth proportional to 665.86, 918.93 and 441.41 is: 609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 918.93 = 441.41 : x
  2. Step 2: Convert to fraction form
    665.86/918.93 = 441.41/x
  3. Step 3: Cross multiply
    665.86x = 918.93 × 441.41
  4. Step 4: Simplify right side
    665.86x = 405,624.89
  5. Step 5: Solve for x
    x = 405,624.89/665.86
  6. Step 6: Final answer
    x = 609.17

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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.