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Finding the Fourth Proportional to 440.85, 661.32 and 395.49

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Solution

The fourth proportional to 440.85, 661.32 and 395.49 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.85 : 661.32 = 395.49 : x
  2. Step 2: Convert to fraction form
    440.85/661.32 = 395.49/x
  3. Step 3: Cross multiply
    440.85x = 661.32 × 395.49
  4. Step 4: Simplify right side
    440.85x = 261,545.45
  5. Step 5: Solve for x
    x = 261,545.45/440.85
  6. Step 6: Final answer
    x = 593.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.