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Finding the Fourth Proportional to 662.60, 993.88 and 297.28

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Solution

The fourth proportional to 662.60, 993.88 and 297.28 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.60 : 993.88 = 297.28 : x
  2. Step 2: Convert to fraction form
    662.60/993.88 = 297.28/x
  3. Step 3: Cross multiply
    662.60x = 993.88 × 297.28
  4. Step 4: Simplify right side
    662.60x = 295,460.65
  5. Step 5: Solve for x
    x = 295,460.65/662.60
  6. Step 6: Final answer
    x = 445.91

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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.