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Finding the Fourth Proportional to 660.82, 911.82 and 395.35

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Solution

The fourth proportional to 660.82, 911.82 and 395.35 is: 545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.82 : 911.82 = 395.35 : x
  2. Step 2: Convert to fraction form
    660.82/911.82 = 395.35/x
  3. Step 3: Cross multiply
    660.82x = 911.82 × 395.35
  4. Step 4: Simplify right side
    660.82x = 360,488.04
  5. Step 5: Solve for x
    x = 360,488.04/660.82
  6. Step 6: Final answer
    x = 545.52

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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.