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Finding the Fourth Proportional to 442.24, 609.84 and 317.92

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Solution

The fourth proportional to 442.24, 609.84 and 317.92 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 609.84 = 317.92 : x
  2. Step 2: Convert to fraction form
    442.24/609.84 = 317.92/x
  3. Step 3: Cross multiply
    442.24x = 609.84 × 317.92
  4. Step 4: Simplify right side
    442.24x = 193,880.33
  5. Step 5: Solve for x
    x = 193,880.33/442.24
  6. Step 6: Final answer
    x = 438.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.