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Finding the Fourth Proportional to 465.92, 698.88 and 442.88

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Solution

The fourth proportional to 465.92, 698.88 and 442.88 is: 664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.92 : 698.88 = 442.88 : x
  2. Step 2: Convert to fraction form
    465.92/698.88 = 442.88/x
  3. Step 3: Cross multiply
    465.92x = 698.88 × 442.88
  4. Step 4: Simplify right side
    465.92x = 309,519.97
  5. Step 5: Solve for x
    x = 309,519.97/465.92
  6. Step 6: Final answer
    x = 664.32

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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.