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Finding the Fourth Proportional to 442, 662.16 and 414.48

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Solution

The fourth proportional to 442, 662.16 and 414.48 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 662.16 = 414.48 : x
  2. Step 2: Convert to fraction form
    442/662.16 = 414.48/x
  3. Step 3: Cross multiply
    442x = 662.16 × 414.48
  4. Step 4: Simplify right side
    442x = 274,452.08
  5. Step 5: Solve for x
    x = 274,452.08/442
  6. Step 6: Final answer
    x = 620.93

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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.