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Finding the Fourth Proportional to 660.56, 910.97 and 424.09

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Solution

The fourth proportional to 660.56, 910.97 and 424.09 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.56 : 910.97 = 424.09 : x
  2. Step 2: Convert to fraction form
    660.56/910.97 = 424.09/x
  3. Step 3: Cross multiply
    660.56x = 910.97 × 424.09
  4. Step 4: Simplify right side
    660.56x = 386,333.03
  5. Step 5: Solve for x
    x = 386,333.03/660.56
  6. Step 6: Final answer
    x = 584.86

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Why These Related Problems?

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