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Finding the Fourth Proportional to 442.78, 664.18 and 280.13

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Solution

The fourth proportional to 442.78, 664.18 and 280.13 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 664.18 = 280.13 : x
  2. Step 2: Convert to fraction form
    442.78/664.18 = 280.13/x
  3. Step 3: Cross multiply
    442.78x = 664.18 × 280.13
  4. Step 4: Simplify right side
    442.78x = 186,054.30
  5. Step 5: Solve for x
    x = 186,054.30/442.78
  6. Step 6: Final answer
    x = 420.19

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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.