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Finding the Fourth Proportional to 397.89, 596.76 and 282.01

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Solution

The fourth proportional to 397.89, 596.76 and 282.01 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 596.76 = 282.01 : x
  2. Step 2: Convert to fraction form
    397.89/596.76 = 282.01/x
  3. Step 3: Cross multiply
    397.89x = 596.76 × 282.01
  4. Step 4: Simplify right side
    397.89x = 168,292.37
  5. Step 5: Solve for x
    x = 168,292.37/397.89
  6. Step 6: Final answer
    x = 422.96

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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.