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Finding the Fourth Proportional to 460.92, 685.95 and 443.64

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Solution

The fourth proportional to 460.92, 685.95 and 443.64 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 685.95 = 443.64 : x
  2. Step 2: Convert to fraction form
    460.92/685.95 = 443.64/x
  3. Step 3: Cross multiply
    460.92x = 685.95 × 443.64
  4. Step 4: Simplify right side
    460.92x = 304,314.86
  5. Step 5: Solve for x
    x = 304,314.86/460.92
  6. Step 6: Final answer
    x = 660.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.