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Finding the Fourth Proportional to 291.80, 404.72 and 281.42

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Solution

The fourth proportional to 291.80, 404.72 and 281.42 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 404.72 = 281.42 : x
  2. Step 2: Convert to fraction form
    291.80/404.72 = 281.42/x
  3. Step 3: Cross multiply
    291.80x = 404.72 × 281.42
  4. Step 4: Simplify right side
    291.80x = 113,896.30
  5. Step 5: Solve for x
    x = 113,896.30/291.80
  6. Step 6: Final answer
    x = 390.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.