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Finding the Fourth Proportional to 440.80, 660.38 and 257.66

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Solution

The fourth proportional to 440.80, 660.38 and 257.66 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.80 : 660.38 = 257.66 : x
  2. Step 2: Convert to fraction form
    440.80/660.38 = 257.66/x
  3. Step 3: Cross multiply
    440.80x = 660.38 × 257.66
  4. Step 4: Simplify right side
    440.80x = 170,153.51
  5. Step 5: Solve for x
    x = 170,153.51/440.80
  6. Step 6: Final answer
    x = 386.01

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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.