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Finding the Fourth Proportional to 660.33, 912.15 and 492.66

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Solution

The fourth proportional to 660.33, 912.15 and 492.66 is: 680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.33 : 912.15 = 492.66 : x
  2. Step 2: Convert to fraction form
    660.33/912.15 = 492.66/x
  3. Step 3: Cross multiply
    660.33x = 912.15 × 492.66
  4. Step 4: Simplify right side
    660.33x = 449,379.82
  5. Step 5: Solve for x
    x = 449,379.82/660.33
  6. Step 6: Final answer
    x = 680.54

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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.