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Finding the Fourth Proportional to 442.40, 662.08 and 280.16

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Solution

The fourth proportional to 442.40, 662.08 and 280.16 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 662.08 = 280.16 : x
  2. Step 2: Convert to fraction form
    442.40/662.08 = 280.16/x
  3. Step 3: Cross multiply
    442.40x = 662.08 × 280.16
  4. Step 4: Simplify right side
    442.40x = 185,488.33
  5. Step 5: Solve for x
    x = 185,488.33/442.40
  6. Step 6: Final answer
    x = 419.28

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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.