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Finding the Fourth Proportional to 441.49, 608.55 and 432.85

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Solution

The fourth proportional to 441.49, 608.55 and 432.85 is: 596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.49 : 608.55 = 432.85 : x
  2. Step 2: Convert to fraction form
    441.49/608.55 = 432.85/x
  3. Step 3: Cross multiply
    441.49x = 608.55 × 432.85
  4. Step 4: Simplify right side
    441.49x = 263,410.87
  5. Step 5: Solve for x
    x = 263,410.87/441.49
  6. Step 6: Final answer
    x = 596.64

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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.