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Finding the Fourth Proportional to 442.43, 609.96 and 354.23

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Solution

The fourth proportional to 442.43, 609.96 and 354.23 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.43 : 609.96 = 354.23 : x
  2. Step 2: Convert to fraction form
    442.43/609.96 = 354.23/x
  3. Step 3: Cross multiply
    442.43x = 609.96 × 354.23
  4. Step 4: Simplify right side
    442.43x = 216,063.08
  5. Step 5: Solve for x
    x = 216,063.08/442.43
  6. Step 6: Final answer
    x = 488.36

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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.