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Finding the Fourth Proportional to 441.60, 609.60 and 343.20

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Solution

The fourth proportional to 441.60, 609.60 and 343.20 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 609.60 = 343.20 : x
  2. Step 2: Convert to fraction form
    441.60/609.60 = 343.20/x
  3. Step 3: Cross multiply
    441.60x = 609.60 × 343.20
  4. Step 4: Simplify right side
    441.60x = 209,214.72
  5. Step 5: Solve for x
    x = 209,214.72/441.60
  6. Step 6: Final answer
    x = 473.77

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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.