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Finding the Fourth Proportional to 660.75, 911.47 and 424.43

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Solution

The fourth proportional to 660.75, 911.47 and 424.43 is: 585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 911.47 = 424.43 : x
  2. Step 2: Convert to fraction form
    660.75/911.47 = 424.43/x
  3. Step 3: Cross multiply
    660.75x = 911.47 × 424.43
  4. Step 4: Simplify right side
    660.75x = 386,858.93
  5. Step 5: Solve for x
    x = 386,858.93/660.75
  6. Step 6: Final answer
    x = 585.48

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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.