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Finding the Fourth Proportional to 440.40, 608.26 and 300.28

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Solution

The fourth proportional to 440.40, 608.26 and 300.28 is: 414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.40 : 608.26 = 300.28 : x
  2. Step 2: Convert to fraction form
    440.40/608.26 = 300.28/x
  3. Step 3: Cross multiply
    440.40x = 608.26 × 300.28
  4. Step 4: Simplify right side
    440.40x = 182,646.62
  5. Step 5: Solve for x
    x = 182,646.62/440.40
  6. Step 6: Final answer
    x = 414.73

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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.