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Finding the Fourth Proportional to 475.43, 712.05 and 282.65

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Solution

The fourth proportional to 475.43, 712.05 and 282.65 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.43 : 712.05 = 282.65 : x
  2. Step 2: Convert to fraction form
    475.43/712.05 = 282.65/x
  3. Step 3: Cross multiply
    475.43x = 712.05 × 282.65
  4. Step 4: Simplify right side
    475.43x = 201,257.37
  5. Step 5: Solve for x
    x = 201,257.37/475.43
  6. Step 6: Final answer
    x = 423.32

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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.