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Finding the Fourth Proportional to 467.90, 645.74 and 281.46

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Solution

The fourth proportional to 467.90, 645.74 and 281.46 is: 388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.90 : 645.74 = 281.46 : x
  2. Step 2: Convert to fraction form
    467.90/645.74 = 281.46/x
  3. Step 3: Cross multiply
    467.90x = 645.74 × 281.46
  4. Step 4: Simplify right side
    467.90x = 181,749.98
  5. Step 5: Solve for x
    x = 181,749.98/467.90
  6. Step 6: Final answer
    x = 388.44

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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.