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Finding the Fourth Proportional to 440.77, 608.26 and 263.81

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Solution

The fourth proportional to 440.77, 608.26 and 263.81 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.77 : 608.26 = 263.81 : x
  2. Step 2: Convert to fraction form
    440.77/608.26 = 263.81/x
  3. Step 3: Cross multiply
    440.77x = 608.26 × 263.81
  4. Step 4: Simplify right side
    440.77x = 160,463.75
  5. Step 5: Solve for x
    x = 160,463.75/440.77
  6. Step 6: Final answer
    x = 364.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.