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Finding the Fourth Proportional to 441.60, 657.72 and 439.62

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Solution

The fourth proportional to 441.60, 657.72 and 439.62 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 657.72 = 439.62 : x
  2. Step 2: Convert to fraction form
    441.60/657.72 = 439.62/x
  3. Step 3: Cross multiply
    441.60x = 657.72 × 439.62
  4. Step 4: Simplify right side
    441.60x = 289,146.87
  5. Step 5: Solve for x
    x = 289,146.87/441.60
  6. Step 6: Final answer
    x = 654.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.