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Finding the Fourth Proportional to 403.65, 604.82 and 282.05

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Solution

The fourth proportional to 403.65, 604.82 and 282.05 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 604.82 = 282.05 : x
  2. Step 2: Convert to fraction form
    403.65/604.82 = 282.05/x
  3. Step 3: Cross multiply
    403.65x = 604.82 × 282.05
  4. Step 4: Simplify right side
    403.65x = 170,591.70
  5. Step 5: Solve for x
    x = 170,591.70/403.65
  6. Step 6: Final answer
    x = 422.62

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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.