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Finding the Fourth Proportional to 442.33, 666.82 and 412.60

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Solution

The fourth proportional to 442.33, 666.82 and 412.60 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.33 : 666.82 = 412.60 : x
  2. Step 2: Convert to fraction form
    442.33/666.82 = 412.60/x
  3. Step 3: Cross multiply
    442.33x = 666.82 × 412.60
  4. Step 4: Simplify right side
    442.33x = 275,129.93
  5. Step 5: Solve for x
    x = 275,129.93/442.33
  6. Step 6: Final answer
    x = 622.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.