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Finding the Fourth Proportional to 660.48, 992.52 and 445.38

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Solution

The fourth proportional to 660.48, 992.52 and 445.38 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 992.52 = 445.38 : x
  2. Step 2: Convert to fraction form
    660.48/992.52 = 445.38/x
  3. Step 3: Cross multiply
    660.48x = 992.52 × 445.38
  4. Step 4: Simplify right side
    660.48x = 442,048.56
  5. Step 5: Solve for x
    x = 442,048.56/660.48
  6. Step 6: Final answer
    x = 669.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.