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Finding the Fourth Proportional to 440.69, 660.76 and 296.51

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Solution

The fourth proportional to 440.69, 660.76 and 296.51 is: 444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.69 : 660.76 = 296.51 : x
  2. Step 2: Convert to fraction form
    440.69/660.76 = 296.51/x
  3. Step 3: Cross multiply
    440.69x = 660.76 × 296.51
  4. Step 4: Simplify right side
    440.69x = 195,917.90
  5. Step 5: Solve for x
    x = 195,917.90/440.69
  6. Step 6: Final answer
    x = 444.58

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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.