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Finding the Fourth Proportional to 467.86, 645.43 and 301.86

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Solution

The fourth proportional to 467.86, 645.43 and 301.86 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 645.43 = 301.86 : x
  2. Step 2: Convert to fraction form
    467.86/645.43 = 301.86/x
  3. Step 3: Cross multiply
    467.86x = 645.43 × 301.86
  4. Step 4: Simplify right side
    467.86x = 194,829.50
  5. Step 5: Solve for x
    x = 194,829.50/467.86
  6. Step 6: Final answer
    x = 416.43

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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.