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Finding the Fourth Proportional to 440.96, 664.47 and 365.62

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Solution

The fourth proportional to 440.96, 664.47 and 365.62 is: 550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.96 : 664.47 = 365.62 : x
  2. Step 2: Convert to fraction form
    440.96/664.47 = 365.62/x
  3. Step 3: Cross multiply
    440.96x = 664.47 × 365.62
  4. Step 4: Simplify right side
    440.96x = 242,943.52
  5. Step 5: Solve for x
    x = 242,943.52/440.96
  6. Step 6: Final answer
    x = 550.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.