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Finding the Fourth Proportional to 669.52, 922.81 and 482.73

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Solution

The fourth proportional to 669.52, 922.81 and 482.73 is: 665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.52 : 922.81 = 482.73 : x
  2. Step 2: Convert to fraction form
    669.52/922.81 = 482.73/x
  3. Step 3: Cross multiply
    669.52x = 922.81 × 482.73
  4. Step 4: Simplify right side
    669.52x = 445,468.07
  5. Step 5: Solve for x
    x = 445,468.07/669.52
  6. Step 6: Final answer
    x = 665.35

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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.