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Finding the Fourth Proportional to 662.84, 994.66 and 297.80

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Solution

The fourth proportional to 662.84, 994.66 and 297.80 is: 446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.84 : 994.66 = 297.80 : x
  2. Step 2: Convert to fraction form
    662.84/994.66 = 297.80/x
  3. Step 3: Cross multiply
    662.84x = 994.66 × 297.80
  4. Step 4: Simplify right side
    662.84x = 296,209.75
  5. Step 5: Solve for x
    x = 296,209.75/662.84
  6. Step 6: Final answer
    x = 446.88

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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.