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Finding the Fourth Proportional to 440.82, 608.37 and 263.94

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Solution

The fourth proportional to 440.82, 608.37 and 263.94 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.82 : 608.37 = 263.94 : x
  2. Step 2: Convert to fraction form
    440.82/608.37 = 263.94/x
  3. Step 3: Cross multiply
    440.82x = 608.37 × 263.94
  4. Step 4: Simplify right side
    440.82x = 160,573.18
  5. Step 5: Solve for x
    x = 160,573.18/440.82
  6. Step 6: Final answer
    x = 364.26

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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.