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Finding the Fourth Proportional to 467.96, 645.75 and 281.42

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Solution

The fourth proportional to 467.96, 645.75 and 281.42 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 645.75 = 281.42 : x
  2. Step 2: Convert to fraction form
    467.96/645.75 = 281.42/x
  3. Step 3: Cross multiply
    467.96x = 645.75 × 281.42
  4. Step 4: Simplify right side
    467.96x = 181,723.74
  5. Step 5: Solve for x
    x = 181,723.74/467.96
  6. Step 6: Final answer
    x = 388.34

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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.