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Finding the Fourth Proportional to 440.22, 660.59 and 406.39

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Solution

The fourth proportional to 440.22, 660.59 and 406.39 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.22 : 660.59 = 406.39 : x
  2. Step 2: Convert to fraction form
    440.22/660.59 = 406.39/x
  3. Step 3: Cross multiply
    440.22x = 660.59 × 406.39
  4. Step 4: Simplify right side
    440.22x = 268,455.14
  5. Step 5: Solve for x
    x = 268,455.14/440.22
  6. Step 6: Final answer
    x = 609.82

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