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Finding the Fourth Proportional to 441.12, 662.32 and 420.48

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Solution

The fourth proportional to 441.12, 662.32 and 420.48 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 662.32 = 420.48 : x
  2. Step 2: Convert to fraction form
    441.12/662.32 = 420.48/x
  3. Step 3: Cross multiply
    441.12x = 662.32 × 420.48
  4. Step 4: Simplify right side
    441.12x = 278,492.31
  5. Step 5: Solve for x
    x = 278,492.31/441.12
  6. Step 6: Final answer
    x = 631.33

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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.